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There are two fuses in an electrical device. Let X denote the life time of the first fuse and Y denote the life time of the second fuse (both in years). Assume that the joint probability density function of X and Y is given by

i) Find
ii) Find the probability that both fuses last at least 3 years.
iii) Find the marginal probability density function of X.
iv) Find the marginal probability density function of Y.

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