3.63 Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life in hours of the two com- ponents. The joint density of X and Y is Sye-v(1+¤). f(x, y) = 10, x, y > 0, elsewhere. (a) Give the marginal density functions for both ran- dom variables. (b) What is the probability that the lives of both com- ponents will exceed 2 hours?
3.63 Two electronic components of a missile system work in harmony for the success of the total system. Let X and Y denote the life in hours of the two com- ponents. The joint density of X and Y is Sye-v(1+¤). f(x, y) = 10, x, y > 0, elsewhere. (a) Give the marginal density functions for both ran- dom variables. (b) What is the probability that the lives of both com- ponents will exceed 2 hours?
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:3.63 Two electronic components of a missile system
work in harmony for the success of the total system.
Let X and Y denote the life in hours of the two com-
ponents. The joint density of X and Y is
f(x, y) = {}
Sye¬y(1+æ).
X, y > 0,
elsewhere.
(a) Give the marginal density functions for both ran-
dom variables.
(b) What is the probability that the lives of both com-
ponents will exceed 2 hours?
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