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...

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

Extracted 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.

Jun 02, 2022

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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...

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