The Harbour Island Ferry leaves on the hour and at 15 minute intervals. The time
ID: 3154331 • Letter: T
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?
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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