classify the following random variables as discrete or continuous
Y: the length of time to play 18 holes of golf. The number of voters favoring a candidate 3. So, let's take a look at the following three examples. On the plane, draw points A and B. $$ $$ 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 . Find the expected value to the company of a single policy if a person in this risk group has a \(99.62\%\) chance of surviving one year. The weight of the professional wrestler. , How many lines can you form? Also classify them as qualitative (nominal or ordinal) or quantitative (interval or ratio). 26/02/2023 . Discrete Q:(a) Perform This site is using cookies under cookie policy . \(X\) is the number of coins that match at least one other coin when four coins are tossed at once. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. P(D) = 0.80, P(I) = 0.20 The difference between them can be best understood using examples. 1. . How do you determine whether data is discrete or continuous? Circle the correct answer. You can specify conditions of storing and accessing cookies in your browser. Thus, the variable is a discrete random variable. Ask your question. Classify the following random variable according to whether it is discrete or continuous. Are the number of leaves on a tree a discrete or continuous variable? 4.83 Find the probability that \(X\) is two, three, or four. Q:What is the standard deviation of this distribution? A work contains four errors. What is the average number of customers who are waiting in line the moment Shylock enters? Suppose the number \(00\) is considered not to be even, but the number \(0\) is still even. 2.) no. Find the average number of appeals in such mailings that are made to students who already give blood. The number of deaths per year attributed to lung cancer. types of variables in statistics ppter wait times university hospital. 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? d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. Given: If not, explain why not. M: the amount of milk produced yearly by a particular cow. Classify the following random variables as discrete or continuous. Using the cumulative probability distribution for \(X\) in 7.1: Large Sample Estimation of a Population Mean find the minimum number \(x_{min}\) of doses of the sedative that should be on hand at the start of the day so that there is a \(99\%\) chance that the laboratory will not run out. Find the probability that no more than ten days will be lost next summer. The number of kernels of popcorn in a \(1\)-pound container. 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. - Definition, Causes, Symptoms What Is Social Networking in Management? mean mpg of model Q car ( ) = 32 A student guesses the answer to every question. -0.37 Let our experts help you. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. 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. n=12 Construct the probability distribution for the number \(X\) of defective units in such a sample. Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. It has an approximately, Q:A well-known brokerage firm executive claimed that 40% of investors are currently confident of, Q:4b. Five thousand lottery tickets are sold for \(\$1\) each. Find the probability that no days at all will be lost next summer. Two fair dice are rolled at once. Find the probability that from \(8\) to \(12\) days will be lost next summer. If the experiment of dropping the tack \(15\) times is done repeatedly, what is the average number of times it lands with its point in the air? Your friend Caroline helped you with the null, A:Given that, every payday, at which time there are always two tellers on duty. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. CI=99% Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). 2) Classify the following random variable according to whether it is discrete or continuous. d.N: the number of eggs laid each month by a hen. Answer in as fast as 15 minutes. 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. 1 Correlation coefficient, r=0.3, Q:(b) What is the standard deviation of change in the control group? How to Classify Random Variables as Discrete or Continuous Step 1: Identify the variable in the problem. Classify the following random variables as discrete or continuous. Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. the number of eggs laid each month by a hen. 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 Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. (For fair dice this number is \(7\)). Let \(X\) denote the number of times a fair coin lands heads in three tosses. If the ball does not land on red he loses his dollar. The number of accidents per year at an intersection. The number \(X\) of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. What Is Plantar Fasciitis? So, it is a discrete variable. what pairs of lines are parallel? 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. 72 Explore: Get a piece of paper as a model of plane. Discrete 2) Amount of milk used per drink. Y : the length of time to play 18 holes of golf. Construct the probability distribution of \(X\). A roulette wheel has \(38\) slots. Get access to thousands of practice questions and explanations! Sample size (n) = A:Please find the explanation for question b below. Find the probability that the proofreader will miss at least one of them. Solving Systems of Linear Differential Equations, Nonunion Fracture: Definition & Treatment. Continuous 3. It is seen as a part of artificial intelligence.. Machine learning algorithms build a model based on sample data, known as training data, in order to make predictions or decisions without being explicitly . Kelly Hawkins has taught high school math for over 5 years. Random Variables and Probability Distribution - Random Variables and Probability Distribution - Studocu Goodluck for your assignments random variables and probability distribution objectives: at the end of the session the learner: illustrates random variable ( Skip to document Ask an Expert Sign inRegister Sign inRegister Home Ask an ExpertNew Classify the following attributes as binary, discrete, or continuous. Find the probability that the next litter will produce five to seven live pups. ff- if its set of possible outcomes is countable. Thus for example if a one and a five are rolled, \(X=4\), and if two sixes are rolled, \(X=0\). 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour : The function f(x) = -x^4 + 3 does not have an absolute maximum. The number of clerical errors on a medical chart. \(X\) 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. What is the probability that they will clear exactly 4 hurdles? Explain fully. The probability of rolling doubles in a single roll of a pair of fair dice is \(1/6\). Variable P consists of number of buildings permit issued which can be counted. Verify that \(X\) satisfies the conditions for a binomial random variable, and find \(n\) and \(p\). \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. Will the owner have the cover installed? continuous. All other trademarks and copyrights are the property of their respective owners. So, it is a continuous variable. b.Y : the length of time to play 18 holes of golf. The temperature of a cup of coffee served at a restaurant. 3.65 Independent variable (x) = no. Thus, it is a continuous variable. State the null and alternative hypotheses (in g/cm2). Use the answer to (a) to compute the projected total revenue per \(90\)-night season if the cover is not installed. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. An insurance company will sell a \(\$90,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$478\). Classify the following random variables as discrete or continuous. Discrete The number of breakdowns of city buses in a large city in one week. state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. M: the amount of milk produced yearly by a particular cow. Find the average number of nails per pound. Q:The values of P(Z0.1) and P (Z0.1) are the same. The remaining two slots are numbered \(0\) and \(00\) and are green. 0.34 Classify each random variable as either discrete or continuous. Y : the length of timeto play 18 holes of golf. The time between customers entering a checkout lane at a retail store. (Round your answer to three, A:Given Information: In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable . Classify each random variable as either discrete or continuous. Find the average number of patients each day who require a sedative. The number of patrons arriving at a restaurant between \(5:00\; p.m\). Start your trial now! Student Continuous The number of leaves on a tree is a countable set. This site is using cookies under cookie policy . The estimated, A:Given data: what pairs of lines are parallel? The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. . 86 Variable N consists of number of eggs laid which can be counted. Show that two such proofreaders working independently have a \(99.96\%\) chance of detecting an error in a piece of written work. The speed of the car 2. The time, to the nearest whole minute, that a city bus takes to go from one end of its route to the other has the probability distribution shown. Find the probability that it lands with its point in the air at least \(7\) times. A box that contains two or more grapefruit of inferior quality will cause a strong adverse customer reaction. Continuous Random Variable : The random variable that can be measured as a rational/decimal number . C.i=95% \[\begin{array}{c|c c c c} x &-2 &0 &2 &4 \\ \hline P(x) &0.3 &0.5 &0.2 &0.1\\ \end{array}\], \[\begin{array}{c|c c c} x &0.5 &0.25 &0.25\\ \hline P(x) &-0.4 &0.6 &0.8\\ \end{array}\], \[\begin{array}{c|c c c c c} x &1.1 &2.5 &4.1 &4.6 &5.3\\ \hline P(x) &0.16 &0.14 &0.11 &0.27 &0.22\\ \end{array}\], \[\begin{array}{c|c c c c c} x &0 &1 &2 &3 &4\\ \hline P(x) &-0.25 &0.50 &0.35 &0.10 &0.30\\ \end{array}\], \[\begin{array}{c|c c c } x &1 &2 &3 \\ \hline P(x) &0.325 &0.406 &0.164 \\ \end{array}\], \[\begin{array}{c|c c c c c} x &25 &26 &27 &28 &29 \\ \hline P(x) &0.13 &0.27 &0.28 &0.18 &0.14 \\ \end{array}\]. Find the chance that he guesses correctly between four and seven times. answered A. Classify the following random variables as discrete or continuous. , of. Systems, methods, and non-transitory computer readable media containing instructions for causing at least one processor to perform operations for determining a display configurati First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . A corporation has advertised heavily to try to insure that over half the adult population recognizes the brand name of its products. of patients = 10 Let \(X\) denote the net gain from the purchase of a randomly selected ticket. Compute the mean and standard deviation of \(X\). A discrete variable is a variable whose value is obtained by counting. 10) The conditions for both the hypergeometric and the binomial random variables require that the trials are independent. Determine whether or not the random variable \(X\) is a binomial random variable. A. random variable B. variable C. probability D. probability distribution B. Classify the following random variables as discrete or continuous. Classify the following random variables as discrete or continuous. \(X\) is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. Find the probability that such a shipment will be accepted. c.M: the amount of milk produced yearly by a particular cow. 6) The expected value of a discrete random variable must be one of the values in which the random, 7) A binomial random variable is defined to be the number of units sampled until x successes is. Three coins are tossed and the random variable Z gives the number of tails. Discrete Continuous Continuous Continuous. 2. A:Given information: The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. Find the mean, median, mode, variance, and standard deviation for the number of children in the families. Pizza 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. In a hamster breeder's experience the number \(X\) of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. A discrete variable is one whose value can be determined by counting. .. Enter the email address you signed up with and we'll email you a reset link. B. \(X\) is a binomial random variable with the parameters shown. Book: Introductory Statistics (Shafer and Zhang), { "4.01:_Random_Variables" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.
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