An important part of the customer service responsibilities o

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 0.75 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?

Solution

P(X<2) = 5C0*0.75^5 +5C1*(0.25)*(0.75)^4=0.0156