The Analysis of Biological Data
The Analysis of Biological Data
2nd Edition
ISBN: 9781936221486
Author: Michael C. Whitlock, Dolph Schluter
Publisher: W. H. Freeman
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Chapter 2, Problem 22AP

(a)

To determine

To identify the kind of given table.

(b)

To determine

To identify the number of variables in the given table.

(c)

To determine

To identify the number of boys who have 2 convictions.

(d)

To determine

To calculate the fraction of boys who have no convictions.

(f)

To determine

To explain the shape of the graph.

(e)

To determine

To construct a frequency graph and explain which graph seems best to display this data.

(f)

To determine

To explain the shape of the graph.

(g)

To determine

To explain whether it represents the random sample of British boys or not.

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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.
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