12. Two components of a minicomputer have the following joint pdf for their useful life times X and Y: (see attachment)
a. What is the probability that the lifetime X of the first component exceeds 3?
b. What are the marginal pdf's of X and Y? Are the two lifetimes independent? Explain.
c. What is the probability that the lifetime of at least one component exceeds 3?
Please see the attached file for the complete solution.
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a) What is the probability that the lifetime X of the first component exceeds 3?
First of all ...
Jointly Distributed Random Variables and a Marginal Probability Density Function are investigated. The solution is detailed and well presented.