WHAT IS A RANDOM VARIABLE? A random variable assigns a number to each outcome of a random circumstance‚ or‚ equivalently‚ a random variable assigns a number to each unit in a population. It is easier to create rules for broad classes of situations and then identify how a specific example fits into a class than it is to create rules for each specific example. We can employ this strategy quite effectively for working with a wide variety of situations Involving probability and random outcomes. We
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continuous random variable because the time is being measured. All possible results for the variable time (t) would be greater than > 0. b) The weight of a T-bone steak is a continuous random variable because the weight of the steak is measured. All the possible results for the weight of the T-bone steak would be positive numbers making the variable weight (w) > greater than 0. c) The number of free throw attempts before the first shot is made is a discrete random variable
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Answer: .5006 . Question 5 .5 out of 5 points An automotive center keeps tracks of customer complaints received each week. The probability distribution for complaints can be represented as a table or a graph‚ both shown below. The random variable xi represents the number of complaints‚ and p(xi) is the probability of receiving xi complaints. xi 0 1 2 3 4 5 6 p(xi) .15 .1 .28 .20 .10 .10 .07 What is the expected number of complaints received per week? Round your
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Modelling 2 Week 3: Discrete Random Variables Stephen Bush Department of Mathematical Sciences MM2: Statistics - Week 3 - 1 Random Variables • Reference: Devore § 3.1 – 3.5 • Definitions: • An experiment is any process of obtaining one outcome where the outcome is uncertain. • A random variable is a numerical variable whose value can change from one replicate of the experiment to another. • Sample means and sample standard deviations are random variables • They are different from
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Discrete Random Variables: Homework Exercise 1 Complete the PDF and answer the questions. |X |P(X = x) |X(P(X = x) | |0 |0.3 | | |1 |0.2 | | |2 | | | |3 |0.4 | | a. Find the probability that X = 2. b. Find the expected value. Exercise 2 Suppose that you are offered the following “deal.” You roll a die. If you
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3-point scale. Let X denote the rating given by expert A and Y denote the rating given by B. The following table gives the joint distribution for X and Y . 4.12 If a dealer’s profit‚ in units of $5000‚ on a new automobile can be looked upon as a random variable X having the density function fx= 21-x‚0<x<10‚elsewhere find the average profit per automobile. 4.14 Find the proportion X of individuals who can be expected to respond to a certain mail-order solicitation if X has the density function
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binomial distribution for the random variable X? Give reasons for your answer in each case. (a) An auto manufacturer chooses one car from each hour’s production for a detailed quality inspection. One variable recorded is the count X of finish defects (dimples‚ ripples‚ etc.) in the car’s paint. No: There is no fixed n (i.e.‚ there is no definite upper limit on the number of defects). (b) The pool of potential jurors for a murder case contains 100 persons chosen at random from the adult residents
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Math 107 002 Homework 5 (due 13 Oct 2011) Fall 2011 Please use your calculators and give your final answers to 3 significant figures. Show your work for full credit. Please state clearly all assumptions made. 1. Classify each random variable as discrete or continuous. (a) The number of visitors to the Museum of Science in Boston on a randomly selected day. (b) The camber-angle adjustment necessary for a front-end alignment. (c) The total number of pixels in a photograph produced by a digital camera
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APStatistics Cole Rogers Unit 7 Exam Random Variables: Free Response Directions: Complete the assignment on this paper. If you need additional paper make sure that you clearly label each page with your name. Your answers for this assignment must include reasons; simply stating the answer without justification will earn partial credit. 1. A Roulette wheel has 38 slots numbered 0 to 36 and 00. The wheel is spun and a ball is thrown into the wheel and comes to rest in one of the slots. There are
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he can handle at most 3 complaints in half an hour. a. What is k? b. What is the probability there are less than 2 complaints in half an hour? c. What is the probability there are less than 2 complaints in an hour? 3. A random variable [pic] can be assumed to have five values: 0‚ 1‚ 2‚ 3‚ and 4. A portion of the probability distribution is shown here: |x |0 |1 |2 |3 |4 | |P(X = x)
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