According to past experience, 20% of customers coming into Frank's car dealership will buy one of his cars. Assume customers are independent and sampled from a very large population. Assume his dealership is open 7 days a week.
a. What is the probability the next person who walks in the door will buy a car?
b. If 10 customers come in to the dealership today, what is the probability at least 2 of them will buy cars?
c. What is the probability that the 4th customer coming in today is the first one who will buy a car?
d. What is the expected number of customers he needs to come into the dealership, to sell his 3rd car?
e. If 10 customers come to his dealership each day, what is the probability that he will sell at least 2 cars in each of 3 days out of the next week?
f. If customers are equally likely to want to buy cars painted red, brown, blue, black, or white, what is the probability that the next customer who buys a car picks a black car?