Question: The lifetimes, in months, of two components in a system, denoted X and Y , have joint probability density function. a. What is the probability

The lifetimes, in months, of two components in a system, denoted X and Y , have joint probability density function.

x > 0 and y > 0 otherwise f(x) = 4xye-(2r+y)


a. What is the probability that both components last longer than one month?

b. Find the marginal probability density functions fX (x) and fY (y).

c. Are X and Y independent? Explain.

x > 0 and y > 0 otherwise f(x) = 4xye-(2r+y)

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