There are two fuses in an electrical device. Let X denote the lifetime of the first fuse, and let Ydenote the lifetime of the second fuse (both in years). Assume the joint probability density function of X and Y is 
a. Find P(X ? 2 and Y ? 3).
b. Find the probability that both fuses last at least 3 years.
c. Find the marginal probability density function of X.
d. Find the marginal probability density function of Y.
e. Are X and Yindependent? Explain.
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