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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Question
Chapter 10.14, Problem 96E
To determine
Test the given hypothesis.
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1. [10] Suppose that X ~N(-2, 4). Let Y = 3X-1.
(a) Find the distribution of Y. Show your work.
(b) Find P(-8< Y < 15) by using the CDF, (2), of the standard normal distribu-
tion.
(c) Find the 0.05th right-tail percentage point (i.e., the 0.95th quantile) of the distri-
bution of Y.
==
4. [10] Let X be a RV. Suppose that E[X(X-1)] = 3 and E(X) = 2.
(a) Find E[(4-2X)²].
(b) Find V(-3x+1).
2. [15] Let X and Y be two discrete RVs whose joint PMF is given by the following table:
y
Px,y(x, y)
-1
1
3
0
0.1
0.04
0.02
I
2
0.08
0.2
0.06
4
0.06
0.14
0.30
(a) Find P(X ≥ 2, Y < 1).
(b) Find P(X ≤Y - 1).
(c) Find the marginal PMFs of X and Y.
(d) Are X and Y independent? Explain
(e) Find E(XY) and Cov(X, Y).
Chapter 10 Solutions
Probability and Statistics for Engineers and Scientists
Ch. 10.3 - Suppose that an allergist wishes to test the...Ch. 10.3 - A sociologist is concerned about the effectiveness...Ch. 10.3 - A large manufacturing firm is being charged with...Ch. 10.3 - A fabric manufacturer believes that the proportion...Ch. 10.3 - Repeat Exercise 10.4 but assume that 50 orders are...Ch. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10E
Ch. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.7 - Prob. 19ECh. 10.7 - Prob. 20ECh. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - Prob. 31ECh. 10.7 - Prob. 32ECh. 10.7 - Prob. 33ECh. 10.7 - Prob. 34ECh. 10.7 - Prob. 35ECh. 10.7 - Prob. 36ECh. 10.7 - Prob. 37ECh. 10.7 - Prob. 38ECh. 10.7 - Prob. 39ECh. 10.7 - Prob. 40ECh. 10.7 - Prob. 41ECh. 10.7 - Prob. 42ECh. 10.7 - Prob. 43ECh. 10.7 - Prob. 44ECh. 10.7 - Prob. 45ECh. 10.7 - Prob. 46ECh. 10.7 - Prob. 47ECh. 10.7 - Prob. 48ECh. 10.7 - Prob. 49ECh. 10.7 - Prob. 50ECh. 10.7 - Prob. 51ECh. 10.7 - Prob. 52ECh. 10.7 - Prob. 53ECh. 10.7 - Prob. 54ECh. 10.9 - Prob. 55ECh. 10.9 - Prob. 56ECh. 10.9 - Prob. 57ECh. 10.9 - Prob. 58ECh. 10.9 - Prob. 59ECh. 10.9 - Prob. 60ECh. 10.9 - Prob. 61ECh. 10.9 - Prob. 62ECh. 10.9 - Prob. 63ECh. 10.9 - Prob. 64ECh. 10.9 - Prob. 65ECh. 10.10 - Prob. 67ECh. 10.10 - Prob. 68ECh. 10.10 - Prob. 69ECh. 10.10 - Prob. 70ECh. 10.10 - Prob. 71ECh. 10.10 - Prob. 72ECh. 10.10 - Prob. 73ECh. 10.10 - Prob. 74ECh. 10.10 - Prob. 75ECh. 10.10 - Prob. 76ECh. 10.10 - Prob. 77ECh. 10.10 - Prob. 78ECh. 10.14 - Prob. 79ECh. 10.14 - Prob. 80ECh. 10.14 - Prob. 81ECh. 10.14 - Prob. 82ECh. 10.14 - Prob. 83ECh. 10.14 - Prob. 84ECh. 10.14 - Prob. 85ECh. 10.14 - Prob. 86ECh. 10.14 - Prob. 87ECh. 10.14 - Prob. 88ECh. 10.14 - Prob. 89ECh. 10.14 - Prob. 90ECh. 10.14 - Prob. 91ECh. 10.14 - Prob. 92ECh. 10.14 - Prob. 93ECh. 10.14 - Prob. 94ECh. 10.14 - Prob. 95ECh. 10.14 - Prob. 96ECh. 10.14 - Prob. 97RECh. 10.14 - Prob. 98RECh. 10.14 - Prob. 99RECh. 10.14 - Prob. 100RECh. 10.14 - Prob. 101RECh. 10.14 - Prob. 102RECh. 10.14 - Prob. 103RECh. 10.14 - Prob. 104RECh. 10.14 - Prob. 105RECh. 10.14 - Prob. 106RECh. 10.14 - Prob. 107RECh. 10.14 - Prob. 108RECh. 10.14 - Prob. 109RECh. 10.14 - Prob. 110RECh. 10.14 - Prob. 111RE
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