classify the following random variables as discrete or continuous
Construct the probability distribution for the number \(X\) of defective units in such a sample. 2. First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . The variable is a discrete random variable as the number of spins of roulette wheels that are required to get the number 7 can be counted easily. Classify each random variable as either discrete or continuous. B. A manufacturer receives a certain component from a supplier in shipments of \(100\) units. Let \(X\) denote the number of patients on any given day who require a sedative. For example, if your variable is "Temperature in Arizona," how long would it take you to write every possible temperature? Thus, this variable can be measured to any fraction of a second. 1 Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). The air pressure of a tire on an automobile. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. If so, give the values of \(n\) and\(p\). of companies = 200 CONTINUOUS RANDOM VARIABLE Takes on values on a continuous scale. 10 0.77 Classify the following as discrete or continuous random variables. 1. 0 65 Question 2. 13. Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? A:Given that The area of lots in an exclusive subdivision 8. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Mx(t)=(0.21+0.79et)18. Explain fully. The variable in the problem is the time length for any movie. C. 0.19 How do you determine whether data is discrete or continuous? If not, explain why not. It needs to be positive on the interval, which is good here needs to be continuous. Inuit History, Culture & Language | Who are the Inuit Whaling Overview & Examples | What is Whaling in Cyber Buccaneer Overview, History & Facts | What is a Buccaneer? 1) Classify the following random variable according to whether it is discrete or continuous. Classify the following random variables as discrete or continuous. infinitely uncountable number of potential values, regularly. copyright 2003-2023 Study.com. Classify each random variable as either discrete or continuous. The weight of the professional wrestlers 6. Find the probability that \(X\) is at least five. Classify the following random variables as discrete or continuous. the weight of newborns each year in a hospital 3.) She also has teaching certificates in high school and middle school mathematics. CI=99% Find the probability that Borachio will produce more than three blemished tires tomorrow. A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. -0.37 Discrete Random Variables are variables that can take on a finite. 2) Classify the following random variable according to whether it is discrete or continuous. 54 Kelly Hawkins has taught high school math for over 5 years. Compute the probability indicated. The amount of rainfall at an airport next month. Discrete 2) Amount of milk used per drink. O True. Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. Enter the email address you signed up with and we'll email you a reset link. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. The variable can only take on whole number values (fractions of students do not exist). Quantitative Random Variables . 7. Suppose that among a group of cars on a circular track there is enough fuel for one car to complete a lap. . what pairs of lines are parallel? \(X\) is the number of fish of a particular species, among the next ten landed by a commercial fishing boat, that are more than \(13\) inches in length, when \(17\%\) of all such fish exceed \(13\) inches in length. Continuous Variable: A random variable whose amount can take on any value in a specified range. \(X\) is a binomial random variable with parameters \(n=16\) and \(p=0.74\). Exercise group The number of winners in lotto for each day 3. =1-0.95 Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Assume the bills are normally distributed with standard deviation $ 17.15 . Many phenomena can be viewed as examples of a random walk. N : the exact time it takes to evaluate 27+ 72. Identify the set of possible values for each random variable. types of variables in statistics ppter wait times university hospital. A:Given information: 0.1 Solved Classify the following random variables as discrete | Chegg.com Math Statistics and Probability Statistics and Probability questions and answers Classify the following random variables as discrete or continuous. 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. What is the product of 1.7 and 0.2? The weight of the professional wrestler 2. 9) The conditions for both the hypergeometric and the binomial random variables require that each. Machine learning (ML) is a field of inquiry devoted to understanding and building methods that "learn" - that is, methods that leverage data to improve performance on some set of tasks. 98 6 Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. So, it is a discrete variable. The random variableX is normally distributed., Q:Visiting Nurses How many different ways can a visiting nurse visit mean mpg of model Q car ( ) = 32 every payday, at which time there are always two tellers on duty. No. Determine whether or not the random variable \(X\) is a binomial random variable. Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. Answer in as fast as 15 minutes. 3.65 \[\begin{array}{c|c c c c c c} x &42 &43 &44 &45 &46 &47 \\ \hline P(x) &0.10 &0.23 &0.34 &0.25 &0.05 &0.02\\ \end{array}\]. 3. Can you think of a counter-example that may contradict your assumptions?. .. Number of houses, Q:se the sample data to construct a scatterplot. What is the probability that, A:Given Information: \(X\) is the number of defective parts in a sample of ten randomly selected parts coming from a manufacturing process in which \(0.02\%\) of all parts are defective. A. a. Find the average number of patients each day who require a sedative. The duration of the next outgoing telephone call from a business office. Find the average number of appeals in such mailings that are made to students who already give blood. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a What Is Plantar Fasciitis? .. Her sister weighs 12 pounds more. About \(12\%\) of all individuals write with their left hands. \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.5\). Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. Continuous A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. The time needed to finish the test 4. Each month a local blood bank sends an appeal to give blood to \(250\) randomly selected students. A blood sample is taken from each of the individuals. These imperfections can include the following: . If the ball lands in an even numbered slot, he receives back the dollar he bet plus an additional dollar. Psychological Research & Experimental Design, All Teacher Certification Test Prep Courses, Classifying Random Variables as Discrete or Continuous. Determine whether or not the random variable \(X\) is a binomial random variable. Since this data can be obtained by counting, it is a discrete variable. The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M. The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N. The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P. The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q. Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. Application 1. the number of defective computers produced by a manufacturer (10 mins.) It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. 95% CI . Classify the following random variables as discrete or continuous. N: the number of eggs laid each month by a hen. Find the probability that at least one of them will be able to speak English. Let our experts help you. Let X be a discrete random variable with the following PMF. Discrete random variables take on values that are restricted to defined separated values, for example: integers or counts. There are four main classification tasks in Machine learning: binary, multi-class, multi-label, and imbalanced classifications. Answer: Discrete, quantitative, ratio Draw as many straight lines passing through both points A and B. Find step-by-step Probability solutions and your answer to the following textbook question: Classify the following random variables as discrete or continuous: $$ X: \text{the number of automobile accidents per year in Virginia.} An English-speaking tourist visits a country in which \(30\%\) of the population speaks English. There are about 140 million houses in the, A:Given information- C. 0.19 , of. Determine the . Let \(X\) denote the net gain from the purchase of a randomly selected ticket. A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. 2.17 In a certain board game a player's turn begins with three rolls of a pair of dice. 8 : \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given The pattern evident from parts (a) and (b) is that if. M: the amount of milk produced yearly by a particular cow. Get access to thousands of practice questions and explanations! Determine the value \(C\) must have in order for the company to average a net gain of \(\$150\) per policy on all such policies. So, it is a continuous variable. Abstract. Rarely Tested Question Types - Conjunctions: Study.com Punctuation - Apostrophes: Study.com SAT® Writing & Interest & Rate of Change - Interest: Study.com SAT® How to Add, Subtract and Multiply Polynomials. B. Compute the probability indicated. and the Discrete or Continuous Wavelet Transform (DWT/CWT). Find the probability that it lands heads up at most five times. The weight of the professional wrestler. The random variable is then continuous. qualitative data. 93 The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful Assuming that boys and girls are equally likely, construct the probability distribution of \(X\). Let our experts help you. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, (Supposing that indeed \(11\) of the \(60\) mixtures test positive, then we know that none of the \(490\) persons whose blood was in the remaining \(49\) samples that tested negative has the disease. The remaining two slots are numbered \(0\) and \(00\) and are green. 26/02/2023 . Movie lengths are an uncountable set. Interpret the mean in the context of the problem. Thus, it is a discrete variable. 2. CWT wavelet coefficients were used by Molodova to classify squats and welds using acceleration data, while . , How many lines can you form? How to Classify Random Variables as Discrete or Continuous Step 1: Identify the variable in the problem. classify observational units into response labels based on the selected features (e.g., [16]). The number of deaths per year attributed to lung cancer. The number of cups of coffee sold in a cafeteria during lunch. Let \(X\) denote the difference in the number of dots that appear on the top faces of the two dice. Find the probability that, on a randomly selected day, the salesman will make a sale. High School GPA Ask your question. The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. I = International flight, 3.99 Y : the length of timeto play 18 holes of golf. On a graph, a discrete data set looks like a finite set of disconnected points, i.e.. On a graph, a continuous data set looks like a smooth line or curve, i.e.. The amount of liquid in a \(12\)-ounce can of soft drink. Suppose the, A:given data N: the number of eggs laid each month by a hen. \(X\) is the number of black marbles in a sample of \(5\) marbles drawn randomly and without replacement from a box that contains \(25\) white marbles and \(15\) black marbles. 4 Represent Measured data. A roulette wheel has \(38\) slots. \(X\) is the number of coins that match at least one other coin when four coins are tossed at once. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. Mean change 1 Q:(a) Perform $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . What is the average number of customers who are waiting in line the moment Shylock enters? What is the relationship between y and Construct the probability distribution of \(X\). Find the expected number of skeins that contain knots. A coin is bent so that the probability that it lands heads up is \(2/3\). Find the probability that it lands with its point in the air at least \(7\) times. The number of voters favoring a candidate 3. Suppose that for a plane with 50 seats, 55 passengers have, Q:What is the probability of rolling a fair six-sided die and obtaining an odd number on the first, A:Introduction: Rolling dice is a common probability experiment, and calculating the probability of, Q:Of all airline flight requests received by a certain discount ticket broker, 80% are for domestic, A:Given that 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. Thirty-six slots are numbered from \(1\) to \(36\); the remaining two slots are numbered \(0\) and \(00\). Suppose a shipment has \(5\) defective units. Why? Seven thousand lottery tickets are sold for \(\$5\) each. Let \(X\) denote the net gain to the bettor on one play of the game. of absences T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn 1. Let \(C\) denote how much the insurance company charges such a person for such a policy. Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). He makes four sales calls each day. Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. 1) Number of customers served by a coffee shop per hour. : The function f(x) = -x^4 + 3 does not have an absolute maximum. at separates the lower 40 % of the bills from the rest. It's a ratio of two continuous functions. What is the product of 1.7 and 0.2? A discrete variable is one whose value can be determined by counting. Get an expert answer. A:Introduction begins., A:Given data: X : number of, Q:Histogram Reading: Heights of Students in a class, A:Histogram is a method of represent the frequency distribution of given data set. The % change is computed in terms of % increase and % decrease. The number of vehicles owned by a randomly selected household. The number \(X\) of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. Blanca weighs x pounds. 1.9 So, it is a continuous variable. Construct the probability distribution of \(X\), the number of sales made each day. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. A multiple choice exam has \(20\) questions; there are four choices for each question. number of distinct values. B. A student guesses the answer to every question. Lett. N: the number of eggs laid each month by a hen. The speed of the car 2. P: the number of textbook authors now sitting at a computer. Discrete Continuous Continuous Continuous In a random sample of \(20\) adults, \(14\) recognized its brand name. Continuous Variable P consists of number of buildings permit issued which can be counted. 3. Tuleau-Malot, C. Variable selection using random forests. Let \(X\) denote the net gain from the purchase of a randomly selected ticket. Your question is solved by a Subject Matter Expert. In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. Based on projected audience sizes and weather conditions, the probability distribution for the revenue \(X\) per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. Compute the mean revenue per night if the cover is not installed. patients if she wants to, A:no. The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. The probability distribution for \(X\) is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. How can a circle can be interpreted as a special case of an ellipse? P(x) \(X\) is the number of dots on the top face of fair die that is rolled. A roulette wheel has \(38\) slots. Circle the correct answer. 2. Thus, the variable is a discrete random variable. = 0.05, Q:Problem 2. vising nurse wants to visit all patients in one day. The amount of sugar in a cup of coffee 6. Determine the value \(C\) must have in order for the company to average a net gain of \(\$250\) per policy on all such policies. m(Cu(NO3)2) = ? The weight of refuse on a truck arriving at a landfill. Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. 3.36. [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. Round to two decimal places (for example: 42.81). The number of winners in lotto for each day 7. Often, continuous random variables represent measured data, such as heights, weights, and temperatures. . Find the probability that the next litter will produce at least six live pups. A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &13 &18 &20 &24 &27 \\ \hline P(x) &0.22 &0.25 &0.20 &0.17 &0.16 \\ \end{array}\]Compute each of the following quantities. 1) Number of customers served by a coffee shop per hour. This page titled 4.E: Discrete Random Variables (Exercises) is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. Use the formula for weighted data. \[\begin{array}{c|c c c } x &100 &101 &102 \\ \hline P(x) &0.01 &0.96 &0.03 \\ \end{array}\], Three fair dice are rolled at once. The number of students who actually register for classes at a university next semester. as described in the main body of the text. Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). d.N: the number of eggs laid each month by a hen. P: the number of building permits . a. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) What is the probability that they will clear exactly 4 hurdles? Are movie time lengths discrete or continuous variables? and \(6:00\; p.m\). Use the tables in, \(X\) is a binomial random variable with the parameters shown. Provide an appropriate response. The weight of newborns each year in a hospital 5. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia.. Y : the length of time to play 18 holes of golf.. M: the amount of milk produced yearly by a particular cow. Continuous of categories (k) = 5 Write only a number as your answer. P: the number of building permitsissued each month in a certain city. y t * is a latent continuous variable, . Discrete 92 Find the probability that a box of one dozen grapefruit will contain two or more grapefruit of inferior quality. We have eliminated \(490\) persons from our search while performing only \(60\) tests.). TRUE OR FALSE. As sometimes happens with probabilities computed as empirical relative frequencies, probabilities in the table add up only to a value other than \(1.00\) because of round-off error. the number of . 0.01, Q:A researcher plans to use a random sample of n=500 families to estimate the mean monthly family, A:Researcher plans to use N = 500 families Goneril buys ten skeins to crochet an afghan. Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? 3 Variable M consists of amount of milk produced which can't be counted but can be measured. Circle the correct answer. Use the first variable for the x-axis. Ask your question. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . For this study, we should use [Select an answer 2.) 2, 3. \(X\) is the number of dice that show an even number of dots on the top face when six dice are rolled at once. Find the probability that such a shipment will be accepted. Your friend Caroline helped you with the null, A:Given that, standard deviation, = 8 Investigators need to determine which of \(600\) adults have a medical condition that affects \(2\%\) of the adult population. zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. Mac n Cheese, A:Given that 2 Mac n cheese Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. Independent variable (x) = no. m(HNO3) = 12,6 Classify the following random variables as discrete or continuous. 46. Pattern Recognit. Find the most likely number of skeins that contain knots. If so, give the values of \(n\) and \(p\). Construct the probability distribution of \(X\). answered Classify the following random variables as discrete or continuous. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution Thirty-six slots are numbered from \(1\) to \(36\); half of them are red and half are black. Find the average number of nails per pound. -0.47 End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. N: the number of eggs laid each month by a hen. Find the expected value to the company of a single policy if a person in this risk group has a \(97.25\%\) chance of surviving one year. b. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Correct to give accuracy, the amount of water measured in liters. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. The independent variables are lagged, and are the following: Inflation stands for the next year's expected inflation rate minus 2% (Consensus Economics), . The distance a rental car rented on a daily rate is driven each day. A continuous variable is one whose value can be obtained by measuring it. Y : the length of timeto play 18 holes of golf. Show that the expected number of diseased individuals in the group of \(600\) is \(12\) individuals. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. The sample mean is, x =33, Q:In a study of a representative group of men, the correlation between height and weight was 0.43. Find the probability that exactly \(14\) of the students enrolled in the class write with their left hands. Which of the following represents the critical region for this mentioned sample (MUST SHOW WORK, A:Answer:- Given, population mean, = 30 Discrete The sum of their weights is 330 pounds. 72 - Definition, Causes, Symptoms What Is Social Networking in Management? Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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