# Handout11 - STOR 435 Handout 11 Sections 5.5 5.6.1 5.7...

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STOR 435 Handout 11 Sections 5.5, 5.6.1, 5.7 Example 1 (Exponential rv) . Let λ > 0. If X has exponential distribution with rate λ calculate E ( X ) , var ( X ). Example 2 (Exercise 5.32; Exponential rv) . The time ( in hours) required to repair a machine is an exponentially distributed random variable with parameter λ = 1 / 12 . What is 1. the probability that a repair time exceeds 2 hours? 2. the conditional probability that a repair takes at least 10 hours, given that its duration exceeds 9 hours? Example 3 (Gamma distribution) . If X has a Gamma distribution with pa-
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