2. New drivers are required to pass written tests before they are given a road driving test.

These tests are usually administered by the city police department. Records at the City of Springdale show that the average number of written tests is 100 per 8-hour day.The average time needed to complete the test is about 30 minutes. However, the actual arrival of test takers and the time each spends on the test are totally random. Determine the following:

*

(a) The average number of seats the police department should provide in the test hall.

*

(b) The probability that the number of test takers will exceed the average number of seats provided in the test hall.

(c) The probability that no tests will be administered in anyone day.