Probability and Statistics for Engineers and Scientists
Probability and Statistics for Engineers and Scientists
9th Edition
ISBN: 9780321629111
Author: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying Ye
Publisher: Prentice Hall
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Chapter 4.4, Problem 98RE

a.

To determine

Obtain the marginal distribution of X and Y and also obtain the probability distribution of X, given that Y=2.

b.

To determine

Find the values of E(X) and Var (X).

c.

To determine

Find the values of E(X|Y=2) and var(X|Y=2).

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Chapter 4 Solutions

Probability and Statistics for Engineers and Scientists

Ch. 4.1 - The probability distribution of X, the number of...Ch. 4.1 - The probability distribution of the discrete...Ch. 4.1 - Find the mean of the random variable T...Ch. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - A private pilot wishes to insure his airplane for...Ch. 4.1 - Prob. 10E
Ch. 4.1 - The density function of coded measurements of the...Ch. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Find the proportion X of individuals who can be...Ch. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Let X be a random variable with the following...Ch. 4.1 - Find the expected value of the random variable...Ch. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - The hospitalization period, in days, for patients...Ch. 4.1 - Suppose that X and Y have the following joint...Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - In Exercise 3.27 on page 93, a density function is...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.2 - Use Definition 4.3 on page 120 to find the...Ch. 4.2 - Let X be a random variable with the following...Ch. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Referring to Exercise 4.14 on page 117, find for...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Find the covariance of the random variables X and...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - For the random variables X and Y in Exercise 3.39...Ch. 4.2 - Random variables X and Y follow a joint...Ch. 4.4 - Referring to Exercise 4.35 on page 127, find the...Ch. 4.4 - Using Theorem 4.5 and Corollary 4.6, find the mean...Ch. 4.4 - Suppose that a grocery store purchases 5 cartons...Ch. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - The total time, measured in units of 100 hours,...Ch. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Prob. 73ECh. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Compute P(μ − 2σ < X < μ + 2σ), where X has the...Ch. 4.4 - Prob. 79RECh. 4.4 - Prob. 80RECh. 4.4 - Prob. 81RECh. 4.4 - Prob. 82RECh. 4.4 - Prob. 83RECh. 4.4 - Prob. 84RECh. 4.4 - Prob. 85RECh. 4.4 - Prob. 86RECh. 4.4 - Prob. 87RECh. 4.4 - Prob. 88RECh. 4.4 - Prob. 89RECh. 4.4 - Prob. 90RECh. 4.4 - Prob. 91RECh. 4.4 - Prob. 92RECh. 4.4 - Prob. 93RECh. 4.4 - Prob. 94RECh. 4.4 - Prob. 95RECh. 4.4 - Prob. 96RECh. 4.4 - Prob. 97RECh. 4.4 - Prob. 98RECh. 4.4 - Prob. 99RECh. 4.4 - Prob. 100RECh. 4.4 - Prob. 101RECh. 4.4 - Project: Let X = number of hours each student in...
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