There are two components in an electronic system. Let X and Y denote the lengths of life in years. The joint density function of these variables f (x, y) = {ye-(+#) , x > 0, y: Determine A. The marginal distribution of X. B. The marginal distribution of Y.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Question 12
There are two components in an
electronic system. Let X and Y denote
the lengths of life in years. The joint
density function of these variables
f (x, y) = {ye-(y+æ)
,x > 0, y:
Determine
A. The marginal distribution of X.
B. The marginal distribution of Y.
C. P(x>3)
D. P(O <X< 2| 0 <Y< 2).
E. What is the probability that both
components will exceed 3 years?
Transcribed Image Text:Question 12 There are two components in an electronic system. Let X and Y denote the lengths of life in years. The joint density function of these variables f (x, y) = {ye-(y+æ) ,x > 0, y: Determine A. The marginal distribution of X. B. The marginal distribution of Y. C. P(x>3) D. P(O <X< 2| 0 <Y< 2). E. What is the probability that both components will exceed 3 years?
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