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 5, Problem 31AP

a)

To determine

To identify whether events “diameter is between 4 and 6” and diameter is between 8 and 12” is mutually exclusive or not.

b)

To determine

To find the probability of colony diameter is between 4 and 6 or between 8 and 12.

c)

To determine

To find the probability that diameter is greater than or equal to 10

d)

To determine

To find the probability that diameter is between 8 and 10

e)

To determine

To find probability that diameter between 8 and 12 or greater than or equal to 10.

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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).
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