Compute the conditional expectation E(Y|X = 0.4). Are X and Y independent? Explain.

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The lifetimes, in months, of two components in a system, denoted X and Y, have joint probability density
function
c(x + y)², 0< x < 2 and 0 < y < 2
otherwise
f(x,y) = { da
0,
Transcribed Image Text:The lifetimes, in months, of two components in a system, denoted X and Y, have joint probability density function c(x + y)², 0< x < 2 and 0 < y < 2 otherwise f(x,y) = { da 0,
Compute the conditional expectation E(Y|X = 0.4).
Are X and Y independent? Explain.
Transcribed Image Text:Compute the conditional expectation E(Y|X = 0.4). Are X and Y independent? Explain.
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