# Jointly Distributed Random Variables : Marginal Probability Density Function

**Discipline:** Statistics

**Type of Paper:** Coursework

**Academic Level:** Undergrad. (yrs 3-4)

**Paper Format:** APA

**Pages:**1

**Words:**275

Question

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?