Mathematical Statistics and Data Analysis
3rd Edition
ISBN: 9781111793715
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 3.8, Problem 9P
a.
To determine
Find the marginal densities of X and Y.
b.
To determine
Find the two conditional densities.
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Chapter 3 Solutions
Mathematical Statistics and Data Analysis
Ch. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 6PCh. 3.8 - Prob. 7PCh. 3.8 - Prob. 8PCh. 3.8 - Prob. 9PCh. 3.8 - Prob. 10P
Ch. 3.8 - Prob. 11PCh. 3.8 - Prob. 12PCh. 3.8 - Prob. 13PCh. 3.8 - Prob. 14PCh. 3.8 - Prob. 15PCh. 3.8 - Prob. 16PCh. 3.8 - Prob. 17PCh. 3.8 - Prob. 18PCh. 3.8 - Prob. 19PCh. 3.8 - Prob. 20PCh. 3.8 - Prob. 22PCh. 3.8 - Prob. 23PCh. 3.8 - Prob. 24PCh. 3.8 - Prob. 25PCh. 3.8 - Prob. 27PCh. 3.8 - Prob. 28PCh. 3.8 - Prob. 29PCh. 3.8 - Prob. 30PCh. 3.8 - Prob. 31PCh. 3.8 - Prob. 32PCh. 3.8 - Prob. 33PCh. 3.8 - Prob. 34PCh. 3.8 - Prob. 35PCh. 3.8 - Prob. 38PCh. 3.8 - Prob. 39PCh. 3.8 - Prob. 44PCh. 3.8 - Prob. 45PCh. 3.8 - Prob. 46PCh. 3.8 - Prob. 47PCh. 3.8 - Prob. 48PCh. 3.8 - Prob. 50PCh. 3.8 - Prob. 51PCh. 3.8 - Prob. 52PCh. 3.8 - Prob. 53PCh. 3.8 - Prob. 54PCh. 3.8 - Prob. 55PCh. 3.8 - Prob. 56PCh. 3.8 - Prob. 57PCh. 3.8 - Prob. 58PCh. 3.8 - Prob. 60PCh. 3.8 - Prob. 61PCh. 3.8 - Prob. 62PCh. 3.8 - Prob. 63PCh. 3.8 - Prob. 64PCh. 3.8 - Prob. 65PCh. 3.8 - Prob. 66PCh. 3.8 - Prob. 67PCh. 3.8 - Prob. 68PCh. 3.8 - Prob. 69PCh. 3.8 - Prob. 70PCh. 3.8 - Prob. 71PCh. 3.8 - Prob. 72PCh. 3.8 - Prob. 73PCh. 3.8 - Prob. 74PCh. 3.8 - Prob. 75PCh. 3.8 - Prob. 76PCh. 3.8 - Prob. 77PCh. 3.8 - Prob. 78PCh. 3.8 - Prob. 79PCh. 3.8 - Prob. 80PCh. 3.8 - Prob. 81P
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- A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forwardFor the joint distribution function f(x,y)=2 for x≥0,y≥0,x+y≤1 and 0 otherwise Find the marginal of X and Y. Are X and Y independent? Find E(X )arrow_forwardIf F(x1, x2, x3) is the value of the joint distribution function of X1, X2, and X3 at (x1, x2, x3), show that the joint marginal distribution function of X1 and X3 is given by M(x1, x3) = F(x1, q, x3) for −q < x1 < q, −q < x3 < q and that the marginal distribution function of X1 is given by G(x1) = F(x1, q, q) for −q < x1 < q With reference to Example 19, use these results to find (a) the joint marginal distribution function of X1 and X3; (b) the marginal distribution function of X1.arrow_forward
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