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-V+x) ,x 2 0, y Determine A. The marginal distribution of X. B. The marginal distribution of Y. С. Р(х»3) D. P (0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
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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)
,x 2 0, y
Determine
A. The marginal distribution of X.
B. The marginal distribution of Y.
C. P(x>3)
D. P (0 <X< 2 | 0 <Y< 2)
E. What is the probability that both components will exceed 3 years?
Transcribed Image Text: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) ,x 2 0, y Determine A. The marginal distribution of X. B. The marginal distribution of Y. C. P(x>3) D. P (0 <X< 2 | 0 <Y< 2) E. What is the probability that both components will exceed 3 years?
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