An electronic device consists of two components. Let X and Y [years] be the times to failure

Question:

An electronic device consists of two components. Let X and Y [years] be the times to failure of the first and second components, respectively. Assume that (X, Y) has the density f(x, y) = 4e-2(x+y) if x > 0 and y > 0 and 0 otherwise.

(a) Are X and Y dependent or independent? (b) Find the densities of the marginal distributions.

(c) What is the probability that the first component will have a lifetime of 2 years or longer?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: