Question 1. A telemarketer calls 10 customers per day. The probability that a customer picks up the phone is 0.5. Let X denote the number of customers who pick up the phone per day. What is E(X).

(a)E(X) = 5

(b)E(X) = 10

(c)E(X) = 1

(d)None of the above

Question 2. The manager of the telemarketer in Question 1. thinks that the telemarketer is shirking whenever the average number of customers who pick up the phone per day is below 3. What is the probability of the telemarketer's manager making a type 1 error?

Question 3. In reality, when the telemarketer is shirking, he only calls 5 customers per day. The probability that a customer picks up is still 0.5. What is the probability of the manager in Question 2. making a type 2 error?