PRACTICE OF STATS - 1 TERM ACCESS CODE
4th Edition
ISBN: 9781319403348
Author: BALDI
Publisher: Macmillan Higher Education
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Chapter 1, Problem 1.15CYS
To determine
To identify which of the following options given in the status is not a variable.
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Students have asked these similar questions
7. [10] Suppose that Xi, i = 1,..., 5, are independent normal random variables, where
X1, X2 and X3 have the same distribution N(1, 2) and X4 and X5 have the same
distribution N(-1, 1). Let
(a) Find V(X5 - X3).
1
= √(x1 + x2) — — (Xx3 + x4 + X5).
(b) Find the distribution of Y.
(c) Find Cov(X2 - X1, Y).
-
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.
6. [10] Let X, Y and Z be random variables. Suppose that E(X) = E(Y) = 1, E(Z) = 2,
V(X) = 1, V(Y) = V(Z) = 4, Cov(X,Y) = -1, Cov(X, Z) = 0.5, and Cov(Y, Z) = -2.
2
(a) Find V(XY+2Z).
(b) Find Cov(-x+2Y+Z, -Y-2Z).
Chapter 1 Solutions
PRACTICE OF STATS - 1 TERM ACCESS CODE
Ch. 1 - Prob. 1.1AYKCh. 1 - Prob. 1.2AYKCh. 1 - Prob. 1.3AYKCh. 1 - Prob. 1.4AYKCh. 1 - Prob. 1.5AYKCh. 1 - Prob. 1.7AYKCh. 1 - Prob. 1.8AYKCh. 1 - Prob. 1.9AYKCh. 1 - Prob. 1.10AYKCh. 1 - Prob. 1.11AYK
Ch. 1 - Prob. 1.12AYKCh. 1 - Prob. 1.15CYSCh. 1 - Prob. 1.16CYSCh. 1 - Prob. 1.17CYSCh. 1 - Prob. 1.18CYSCh. 1 - Prob. 1.19CYSCh. 1 - Prob. 1.20CYSCh. 1 - Prob. 1.21CYSCh. 1 - Prob. 1.22CYSCh. 1 - Prob. 1.23CYSCh. 1 - Prob. 1.24CYSCh. 1 - Prob. 1.25ECh. 1 - Prob. 1.26ECh. 1 - Prob. 1.27ECh. 1 - Prob. 1.28ECh. 1 - Prob. 1.29ECh. 1 - Prob. 1.30ECh. 1 - Prob. 1.31ECh. 1 - Prob. 1.32ECh. 1 - Prob. 1.33ECh. 1 - Prob. 1.34ECh. 1 - Prob. 1.35ECh. 1 - Prob. 1.36ECh. 1 - Prob. 1.37ECh. 1 - Prob. 1.38ECh. 1 - Prob. 1.39ECh. 1 - Prob. 1.40ECh. 1 - Prob. 1.41ECh. 1 - Prob. 1.42ECh. 1 - Prob. 1.43ECh. 1 - Prob. 1.44E
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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.arrow_forward== 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).arrow_forward2. [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).arrow_forward
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