You are planning a night out with your friends, which will include dinner and a concert. Your plan is to get dinner near your apartment, then taxi to the concert venue. A taxi will fit at most 4 people, so if there are 5-8 people in your group, you will need two taxis; if there are 1-4 people, you will only need one taxi. Suppose that you invite 6 people (not including yourself), that each person has a 75% chance of attending, and that the attendances of your guests are independent of each other.

(a) What is the probability that you will need two taxis?

(b) What is the expected number of taxis that you will need?

(c) Provide an interpretation for the expected number of taxis