The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of twelve (12) minutes.

The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of twelve (12) minutes.

(a) What is the random variable?

(b) Find the height of this uniform distribution.

(c) Find the probability of waiting between four and five minutes.

(d) Find the probability of waiting between three and eight minutes.

(e) Find the probability of waiting five minutes exactly.