MyLab Statistics with Pearson eText -- Standalone Access Card -- for Biostatistics for the Biological and Health Sciences (My Stat Lab)
2nd Edition
ISBN: 9780134748870
Author: Marc M. Triola, Mario F. Triola, Jason Roy
Publisher: PEARSON
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Chapter 3.2, Problem 5SLCT
To determine
To explain: The population by computing the
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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 3 Solutions
MyLab Statistics with Pearson eText -- Standalone Access Card -- for Biostatistics for the Biological and Health Sciences (My Stat Lab)
Ch. 3.1 - Prob. 1SLCTCh. 3.1 - Prob. 2SLCTCh. 3.1 - Prob. 3SLCTCh. 3.1 - Prob. 4SLCTCh. 3.1 - Prob. 5SLCTCh. 3.1 - Prob. 6SLCTCh. 3.1 - Prob. 7SLCTCh. 3.1 - Prob. 8SLCTCh. 3.1 - Prob. 9SLCTCh. 3.1 - Prob. 10SLCT
Ch. 3.1 - Prob. 11SLCTCh. 3.1 - Prob. 12SLCTCh. 3.1 - Prob. 13SLCTCh. 3.1 - Prob. 14SLCTCh. 3.1 - Prob. 15SLCTCh. 3.1 - Prob. 16SLCTCh. 3.1 - Prob. 17SLCTCh. 3.1 - Prob. 18SLCTCh. 3.1 - Prob. 19SLCTCh. 3.1 - Prob. 20SLCTCh. 3.1 - Prob. 21SLCTCh. 3.1 - Prob. 22SLCTCh. 3.1 - Prob. 23SLCTCh. 3.1 - Prob. 24SLCTCh. 3.1 - Prob. 25SLCTCh. 3.1 - Prob. 26SLCTCh. 3.1 - Prob. 27SLCTCh. 3.1 - Prob. 28SLCTCh. 3.1 - Prob. 29SLCTCh. 3.1 - Prob. 30SLCTCh. 3.1 - Prob. 31SLCTCh. 3.2 - Prob. 1SLCTCh. 3.2 - Prob. 2SLCTCh. 3.2 - Prob. 3SLCTCh. 3.2 - Prob. 4SLCTCh. 3.2 - Prob. 5SLCTCh. 3.2 - Prob. 6SLCTCh. 3.2 - Prob. 7SLCTCh. 3.2 - Prob. 8SLCTCh. 3.2 - Prob. 9SLCTCh. 3.2 - Prob. 10SLCTCh. 3.2 - Prob. 11SLCTCh. 3.2 - Prob. 12SLCTCh. 3.2 - Prob. 13SLCTCh. 3.2 - Prob. 14SLCTCh. 3.2 - Prob. 15SLCTCh. 3.2 - Prob. 16SLCTCh. 3.2 - Prob. 17SLCTCh. 3.2 - Prob. 18SLCTCh. 3.2 - Prob. 19SLCTCh. 3.2 - Prob. 20SLCTCh. 3.2 - Prob. 21SLCTCh. 3.2 - Prob. 22SLCTCh. 3.2 - Prob. 23SLCTCh. 3.2 - Prob. 24SLCTCh. 3.2 - Prob. 25SLCTCh. 3.2 - Prob. 26SLCTCh. 3.2 - Prob. 27SLCTCh. 3.2 - Prob. 28SLCTCh. 3.2 - Prob. 29SLCTCh. 3.2 - Prob. 30SLCTCh. 3.2 - Prob. 31SLCTCh. 3.2 - Prob. 32SLCTCh. 3.2 - Prob. 33SLCTCh. 3.2 - Prob. 34SLCTCh. 3.2 - Prob. 35SLCTCh. 3.2 - Prob. 36SLCTCh. 3.3 - Prob. 1SLCTCh. 3.3 - Prob. 2SLCTCh. 3.3 - Prob. 3SLCTCh. 3.3 - Prob. 4SLCTCh. 3.3 - Prob. 5SLCTCh. 3.3 - Prob. 6SLCTCh. 3.3 - Prob. 7SLCTCh. 3.3 - Prob. 8SLCTCh. 3.3 - Prob. 9SLCTCh. 3.3 - Prob. 10SLCTCh. 3.3 - Prob. 11SLCTCh. 3.3 - Prob. 12SLCTCh. 3.3 - Prob. 13SLCTCh. 3.3 - Prob. 14SLCTCh. 3.3 - Prob. 15SLCTCh. 3.3 - Prob. 16SLCTCh. 3.3 - Prob. 17SLCTCh. 3.3 - Prob. 18SLCTCh. 3.3 - Prob. 19SLCTCh. 3.3 - Prob. 20SLCTCh. 3.3 - Prob. 21SLCTCh. 3.3 - Prob. 22SLCTCh. 3.3 - Prob. 23SLCTCh. 3.3 - Prob. 24SLCTCh. 3.3 - Prob. 25SLCTCh. 3.3 - Prob. 26SLCTCh. 3.3 - Prob. 27SLCTCh. 3.3 - Prob. 28SLCTCh. 3.3 - Prob. 29SLCTCh. 3.3 - Prob. 30SLCTCh. 3.3 - Prob. 31SLCTCh. 3.3 - Prob. 32SLCTCh. 3.3 - Prob. 33SLCTCh. 3.3 - Prob. 34SLCTCh. 3.3 - Prob. 35SLCTCh. 3 - Prob. 1CQQCh. 3 - Prob. 2CQQCh. 3 - Prob. 3CQQCh. 3 - Prob. 4CQQCh. 3 - Prob. 5CQQCh. 3 - Prob. 6CQQCh. 3 - Prob. 7CQQCh. 3 - Prob. 8CQQCh. 3 - Prob. 9CQQCh. 3 - Prob. 10CQQCh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRE
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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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