Two components X Y of a minicomputer have the following join

Two components, (X ,Y), of a minicomputer have the following joint pdf for their down time in hours during a typical week:

a.What is the probability that both x and y are no larger than 0.5?

b.What is the probability that Y is larger than X?

c.What are the marginal pdf”s of X and Y? Are the two lifetimes independent? Explain.

d.What is the probability that the down time of at least one component exceeds 0.5?