Valid probability distribution

Reference no: EM1319536

Let X and Y be the lengths of life, in hours, for two separate electronic component. Their joint density is: f(x; y) = Kexp -(x+y) for x > 0 and y > 0

a) Find the value of k that makes f(x; y) a valid probability distribution.

b) Derive f(x| y)

c) Find P(X < 10| Y = 2)

d) Are X and Y independent? Justify your answer.

Reference no: EM1319536

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