3. An important part of the customer service responsibilities of a cable company relates to the speed with which trouble in service can be repaired. Historically, the data show that the likelihood is 0.84 that troubles in a residential service can be repaired on the same day. Use the binomial formula to calculate.

a. For the first five troubles reported on a given day, what is the probability that: All five will be repaired on the same day?

b. For the first five troubles reported on a given day, what is the probability that: Fewer than two troubles will be repaired on the same day?

c. For the first five troubles reported on a given day, what is the probability that: At least 3 troubles will be repaired on the same day.

d. Find the mean number of troubles repaired on the same day?