The Harbour Island Ferry leaves on the hour and at 15 minute intervals. The time

Question

The Harbour Island Ferry leaves on the hour and at 15 minute intervals. The time, x, it takes John to drive from his house to the ferry has a uniform distribution with x between 10 and 20 minutes. One morning John leaves his house at precisely 8:00a.m.

a.

What is the probability John will wait less than 10 minutes for the ferry?

Please submit your answer in the following format: If you calculate 123,456,789.123456789, then you would submit123456789.123

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a.

What is the probability John will wait less than 10 minutes for the ferry?

Explanation / Answer

There is a fifty percent probability he will arrive before 10:15, in which case he will have to wait less than ten minutes. There is a fifty percent probability he will arrive between 10:15 and 10:20 and have to wait at least 10 minutes. So the probability John will wait less than 10 minutes for the ferry is 0.500

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