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
Question
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Chapter 3.4, Problem 37E

a.

To determine

Obtain the value of c for the joint probability distributions of X in this context.

b.

To determine

Find the value of c for the joint probability distributions of X in this context.

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a. Find the value of A.b. Find pX(x) and py(y).c. Find pX|y(x|y) and py|X(y|x)d. Are x and y independent? Why or why not?

Chapter 3 Solutions

Probability and Statistics for Engineers and Scientists

Ch. 3.3 - A shipment of 7 television sets contains 2...Ch. 3.3 - An investment firm offers its customers municipal...Ch. 3.3 - The probability distribution of X, the number of...Ch. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Construct a graph of the cumulative distribution...Ch. 3.3 - A continuous random variable X that can assume...Ch. 3.3 - A continuous random variable X that can assume...Ch. 3.3 - For the density function of Exercise 3.17, find...Ch. 3.3 - For the density function of Exercise 3.18, find...Ch. 3.3 - Consider the density function Evaluate k. Find...Ch. 3.3 - Three cards are drawn in succession from a deck...Ch. 3.3 - Prob. 23ECh. 3.3 - Find the probability distribution for the number...Ch. 3.3 - From a box containing 4 dimes and 2 nickels, 3...Ch. 3.3 - From a box containing 4 black balls and 2 green...Ch. 3.3 - The time to failure in hours of an important piece...Ch. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Measurements of scientific systems are always...Ch. 3.3 - Based on extensive testing, it is determined by...Ch. 3.3 - Prob. 32ECh. 3.3 - Suppose a certain type of small data processing...Ch. 3.3 - Magnetron tubes are produced on an automated...Ch. 3.3 - Suppose it is known from large amounts of...Ch. 3.3 - On a laboratory assignment, if the equipment is...Ch. 3.4 - Prob. 37ECh. 3.4 - If the joint probability distribution of X and Y...Ch. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Let X and Y denote the lengths of life, in years,...Ch. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Let X denote the diameter of an armored electric...Ch. 3.4 - Referring to Exercise 3.38, find the marginal...Ch. 3.4 - The amount of kerosene, in thousands of liters, in...Ch. 3.4 - Referring to Exercise 3.39, find f(y|2) for all...Ch. 3.4 - Let X denote the number of times a certain...Ch. 3.4 - Suppose that X and Y have the following joint...Ch. 3.4 - Prob. 51ECh. 3.4 - A coin is tossed twice. Let Z denote the number of...Ch. 3.4 - Given the joint density function find P(1< Y < 3...Ch. 3.4 - Determine whether the two random variables of...Ch. 3.4 - Determine whether the two random variables of...Ch. 3.4 - The joint density function of the random variables...Ch. 3.4 - Let X, Y, and Z have the joint probability density...Ch. 3.4 - Determine whether the two random variables of...Ch. 3.4 - Prob. 59ECh. 3.4 - The joint probability density function of the...Ch. 3.4 - Prob. 61RECh. 3.4 - Prob. 62RECh. 3.4 - Prob. 63RECh. 3.4 - Prob. 64RECh. 3.4 - Prob. 65RECh. 3.4 - Prob. 66RECh. 3.4 - Prob. 67RECh. 3.4 - Prob. 68RECh. 3.4 - Prob. 69RECh. 3.4 - Prob. 70RECh. 3.4 - Prob. 71RECh. 3.4 - Prob. 72RECh. 3.4 - Prob. 73RECh. 3.4 - Prob. 74RECh. 3.4 - A chemical system that results from a chemical...Ch. 3.4 - Consider the situation of Review Exercise 3.75....Ch. 3.4 - Prob. 77RECh. 3.4 - Prob. 78RECh. 3.4 - Prob. 79RECh. 3.4 - Prob. 80RE
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