The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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Chapter 5, Problem 30AP
To determine
To find and compare the
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==
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).
32. Consider a normally distributed population with mean μ = 80
and standard deviation σ = 14.
a.
Construct the centerline and the upper and lower control
limits for the chart if samples of size 5 are used.
b. Repeat the analysis with samples of size 10.
2080 101
c. Discuss the effect of the sample size on the control limits.
Chapter 5 Solutions
The Analysis of Biological Data
Ch. 5 - Prob. 1PPCh. 5 - Prob. 2PPCh. 5 - Prob. 3PPCh. 5 - Prob. 4PPCh. 5 - Prob. 5PPCh. 5 - Prob. 6PPCh. 5 - Prob. 7PPCh. 5 - Prob. 8PPCh. 5 - Prob. 9PPCh. 5 - Prob. 10PP
Ch. 5 - Prob. 11PPCh. 5 - Prob. 12PPCh. 5 - Prob. 13PPCh. 5 - Prob. 14PPCh. 5 - Prob. 15PPCh. 5 - Prob. 16PPCh. 5 - Prob. 17PPCh. 5 - Prob. 18APCh. 5 - Prob. 19APCh. 5 - Prob. 20APCh. 5 - Prob. 21APCh. 5 - Prob. 22APCh. 5 - Prob. 23APCh. 5 - Prob. 24APCh. 5 - Prob. 25APCh. 5 - Prob. 26APCh. 5 - Prob. 27APCh. 5 - Prob. 28APCh. 5 - Prob. 29APCh. 5 - Prob. 30APCh. 5 - Prob. 31APCh. 5 - Prob. 32APCh. 5 - Prob. 33APCh. 5 - Prob. 34APCh. 5 - Prob. 35APCh. 5 - Prob. 36APCh. 5 - Prob. 37APCh. 5 - Prob. 38AP
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