Question

Buses on a particular route stop in front of De Anza College every 20 minutes between 3:00 p.m. and 1:00 a.m. The waiting times are equally likely. We asked the 33 people waiting at 6:45 p.m. how long they had been waiting, and then calculated the average wait time for those people.

The probability that the average wait time is no more than 15 minutes is:____.
a. 1.
b. 0. 7500.
c. 0. 7769.
d. 0.
The distribution of the average wait times is:
a. N(10 , 1. 0050).
b. U(0 , 20).
c. N(10 , 5.7735).
d. Exp (1 20).

Answer 1

1. a. 1

2. a. N(10 , 1. 0050)

Explanation:

The average time for the people waiting for the bus will be no longer than 15 minutes. There are 33 people who were observed and their waiting time did not exceed 15 minutes. The probability is therefore 1 for the wait time.