Explanation Given: X 1 , X 2 two independent claims are made on two insecure homes, where each claim has probability density function : f ( x ) = 4 x 5 1 < x < ∞ Calculation: Cumulative density function of X: F ( X ) = P ( X ≤ x ) = ∫ 1 x 4 x 5 d x = 4 ∫ 1 x 1 x 5 d x = ( − x − 4 ) 1 x = 1 − x − 4 The Cumulative density function of Y = max ( X 1 , X 2 ) : G ( Y ) = [ P ( Y ≤ y ) ] 2 = [ 1 − y − 4 ] 2 Probability density function of Y: g ( y ) = ∂ ∂ y G ( Y ) = ∂ ∂ y [ 1 − y − 4 ]

Probability And Statistical Inference (10th Edition)

10th Edition

ISBN: 9780135189399

Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Publisher: PEARSON

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Chapter 5.3, Problem 8E

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To find: The value of g(y)=G'(y) and E(Y)

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Chapter 5.3, Problem 7E

Chapter 5.3, Problem 9E

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Chapter 5 Solutions

Probability And Statistical Inference (10th Edition)

Ch. 5.1 - Let X have a geometric distribution with parameter...Ch. 5.1 - Suppose that X is a continuous random variable...Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Let X have a gamma distribution with =3 and =2....Ch. 5.1 - The pdf of X is f(x)=2x,0x1. (a) Find the cdf of...Ch. 5.1 - Prob. 7E Ch. 5.1 - Let X have a logistic distribution with pdf...Ch. 5.1 - A sum of $50000 is invested at a rate R, selected...Ch. 5.1 - The lifetime (in years) of a manufactured product...

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The value of g ( y ) = G ' ( y ) and E(Y)

Solution Summary: The author explains the probability density function of g(y) and E(Y) of X and Y.

To find: The value of g(y)=G'(y) and E(Y)

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Chapter 5 Solutions