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A man is meeting his fianc e at a nice restaurant for lunch. He will be at the restau- rant exactly at 12:30pm. She will

A man is meeting his fianc e at a nice restaurant for lunch. He will be at the restau- rant exactly at 12:30pm. She will show up at a random time uniformly distributed between 12:20pm and 12:45pm. Define the random variable that you are working with and state its distribution along with all relevant parameters. (a) What is the probability that the man will have to wait more than five minutes for his fianc e? (b) Given that he waits less than five minutes, what is the probability that she actually showed up before him

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