An important part of the customer service responsibilities of a cable company is the speed with which trouble in service 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, what is the probability that fewer than two troubles will be repaired on the same day?

0.015625

Step-by-step explanation:

Binomial probability formula :_

, where P(X) is the probability of getting success in x trials , p is the probability of getting success inn each trial and n is the sample size.

Given : The probability that troubles in a residential service can be repaired on the same day : p=0.75

Sample size : n=5

Then, the probability that fewer than two troubles will be repaired on the same day is given by:-

Hence, the probability that fewer than two troubles will be repaired on the same day= 0.015625