In: Statistics and Probability
An important part of the customer service responsibilities of a cable company is the speed with which service troubles can be repaired. Historically, the data show that the likelihood is 0.75 that troubles in a residential service can be repaired on the same day. For the first five troubles reported on a given day:
a) What is the probability that all five will be repaired on the same day?
b) What is the probability that fewer than two troubles will be
repaired on the same day?
c) What is the probability that at least three troubles will be repaired on the same day? d) Find the mean number of troubles repaired on the same day.