Customers arrive at a bakery at an average rate of 6 per half-hour. Each customer spends an average of $2.50.
a) What is the probability that exactly 3 customers will arrive in the next 10 minutes?
b) What is the probability that at least 3 customers will arrive in the next 10 minutes?
c) What is the expected amount of money the bakery will make in the next 10 minutes?
d) What is the variance in the amount of money that the bakery will make in the next 10 minutes?