Question

An important part of the customer service responsibilities of a cable company is the speed with 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 all five will be repaired on the same day?

.0010

.6328

.9990

.2373

Answer 1

Solution:

The correct answer is:

0.2373

Explanation:

Let x be the number of trouble in service be repaired and then the random variable x follows the binomial distribution with n =5 and p=0.75

We have to find the probability that all five will be repaired on the same day. Therefore, we have to find:

Using the binomial probability distribution model, we have:

Therefore, the probability that all five will be repaired on the same day is 0.2373