Two people are going from seattle to portland alice has 50, Ask an Expert

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Two people are going from Seattle to Portland. Alice has 50% chance of arriving at 5:00 and a 50% chance of arriving at 6:00. Bob's arrival time is independent of Alice's. The number of minutes after 4:30 that he arrives is an exponential random variable with mean 45. What is the probability that Alice arrives before Bob?

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