The lifetimes, in months, of two components in a system, denoted X and Y, have joint probability density function S 4xye-(2x+y) x > 0 and y > 0 f(x) = otherwise What is the probability that both components last longer than one month? a. b. Find the marginal probability density functions fx(x) and fy(y). Are X and Y independent? Explain. C.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter1: Functions
Section1.2: Functions Given By Tables
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The lifetimes, in months, of two components in a system, denoted X and Y, have joint
probability density function
S 4xye-(2x+y) x > 0 and y > 0
f(x) =
otherwise
What is the probability that both components last longer than one month?
a.
b.
Find the marginal probability density functions fx(x) and fy(y).
Are X and Y independent? Explain.
C.
Transcribed Image Text:The lifetimes, in months, of two components in a system, denoted X and Y, have joint probability density function S 4xye-(2x+y) x > 0 and y > 0 f(x) = otherwise What is the probability that both components last longer than one month? a. b. Find the marginal probability density functions fx(x) and fy(y). Are X and Y independent? Explain. C.
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