Customers arrive at a bakery at an average rate of f 6 per half-hour. For simplicity, suppose each customer spends $2.50 on their purchase.
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. Given that at least 3 customers will arrive in the next 10 minutes, what is the probability that exactly 3 will arrive?
d. What is t he expected amount of money the bakery will make in the next 10 minutes?
e. What is the standard deviation in the amount of money the bakery will make in the next 10 minutes?