Question

(4.13) Let X be the wait times for riders of a bus at a particular bus station. Suppose the wait times have a uniform distribution from 0 to 20.

(Use the standard normal distribution if applicable)

A)Find the probability that a random passenger has to wait between 5 and 10 minutes for a bus.

B)Find the probability that a random rider has to wait more than 12 minutes for the bus, given they have already waited 7 minutes.

C)Suppose we randomly select 50 riders. What is the probability that 30 or more of these riders waited less than 15 minutes?

D)Suppose we randomly select 50 passengers. What is the probability that the mean wait time of those 50 riders is less than 7 minutes?

Answer 1