# Question: A student takes the campus shuttle bus to reach the

A student takes the campus shuttle bus to reach the classroom building. The shuttle bus arrives at his stop every 15 minutes but the actual arrival time at the stop is random. The student allows 10 minutes waiting time for the shuttle in his plan to make it in time to the class.

a. What is the expected waiting time? What is the variance?

b. What is the probability that the wait will be between four and six minutes?

c. What is the probability that the student will be in time for the class?

d. If he wants to be 95% confident of being on time for the class, how much time should he allow for waiting for the shuttle?

a. What is the expected waiting time? What is the variance?

b. What is the probability that the wait will be between four and six minutes?

c. What is the probability that the student will be in time for the class?

d. If he wants to be 95% confident of being on time for the class, how much time should he allow for waiting for the shuttle?

## Answer to relevant Questions

A hydraulic press breaks down at the rate of 0.1742 times per day. a. What is the MTBF? b. On a given day, what is the probability that it will break down? c. If four days have passed without a breakdown, what is the ...A shipment of thousands of pins contains some percentage of defectives. To decide whether to accept the shipment, the consumer follows a sampling plan where 80 items are chosen at random from the sample and tested. If the ...Based on the survey conducted by a municipal administration in the Netherlands, Monday appeared to be managements' preferred day for laying off workers. Of the total number of workers laid off in a given period, 30% were on ...Consider the situation in the previous problem, and assume that the distribution holds for all weeks throughout the year and that weekly orders are independent from week to week. Let Y denote the number of weeks in the year ...Recently, the head of the Federal Deposit Insurance Corporation (FDIC) revealed that the agency maintains a secret list of banks suspected of being in financial trouble. The FDIC chief further stated that of the nation's ...Post your question