(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

"Pat arrives at the bus stop at some time U, which is uniformly distributed between time 0 and time 1, and waits for a bus. The first bus arrives at time T which is exponentially distributed with mean 1/μ. Assume that U and T are independent. What is the probability that Pat catches the first bus?"

2. Relevant equations&3. The attempt at a solution

"Pr {U < T} = [tex]\int[/tex](from 0 to infinity) Pr {U < T | U = s}f_{U}(s) ds"

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# Homework Help: Two distributions

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