In the Social and Natural Sciences Journal (Vol. 6, 2012), the time x (in minutes) between two successive arrivals of buses was modeled using an exponential distribution with mean ( = 3.77.
a. Give the value of E(x).
b. What is the standard deviation of x?
c. Find P(x > 5). Interpret this probability in the words of the problem.
d. Find P(2.5 < x < 3.5). Interpret this probability in the words of the problem?