Question: In the mornings, a bus shuttle arrives at the bus stop at 7:00AM, 7:15AM, and 7:30AM. A student always arrives at this stop at some

In the mornings, a bus shuttle arrives at the bus stop at 7:00AM, 7:15AM, and 7:30AM. A student always arrives at this stop at some time between 7:00AM and 7:30AM. We assume that his time of arrival, measured in minutes after 7:00AM, is a continuous random variable which has the distribution U(0,30).

1. What is the probability that the student has to wait for the next bus for less than 5 minutes?

2. What is the probability that the student has to wait for the next bus for more than 10 minutes?

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