# Jointly Distributed Random Variables : Marginal Probability Density Function

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?

https://brainmass.com/statistics/probability-density-function/jointly-distributed-random-variables-marginal-probability-42368

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a) What is the probability that the lifetime X of the first component exceeds 3?

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#### Solution Summary

Jointly Distributed Random Variables and a Marginal Probability Density Function are investigated. The solution is detailed and well presented.

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