Intro Stats
4th Edition
ISBN: 9780321825278
Author: Richard D. De Veaux, Paul F. Velleman, David E. Bock
Publisher: PEARSON
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Chapter 1.3, Problem 2JC
To determine
Classify the variables as qualitative or quantitative.
Give the units of the quantitative variables.
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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 1 Solutions
Intro Stats
Ch. 1.3 - Prob. 1JCCh. 1.3 - Prob. 2JCCh. 1 - Grocery shopping Many grocery store chains offer...Ch. 1 - Online shopping Online retailers such as...Ch. 1 - Super Bowl Sports announcers love to quote...Ch. 1 - Nobel laureates The website www.nobelprize.org...Ch. 1 - Prob. 5ECh. 1 - ZIP codes The U.S. Postal Service uses five-digit...Ch. 1 - Voters A February 2010 Gallup Poll question asked,...Ch. 1 - Job hunting A June 2011 Gallup Poll asked...
Ch. 1 - Medicine A pharmaceutical company conducts an...Ch. 1 - Stress A medical researcher measures the increase...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 1926) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - (Exercises 2740) For each description of data,...Ch. 1 - Prob. 31ECh. 1 - (Exercises 2740) For each description of data,...Ch. 1 - Prob. 33ECh. 1 - Prob. 34E
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