QUESTION 1

1) The weight of competition pumpkins at the Circleville Pumpkin Show in Circleville, Ohio, can be represented by a normal distribution with a mean of 703 pounds and a standard deviation of 347 pounds.

a. Find the probability that a randomly selected pumpkin weighs at least 1,622 pounds.

b. Find the probability that a randomly selected pumpkin weighs between 465.1 and 1,622 pounds.

2) Customers arrive at a drive-through teller window of a bank. They stay in line when the teller is busy. The service time is exponentially distributed with a mean of four minutes.

a. What is the probability that the next customer in line will take longer than seven minutes to be served?

b. What is the probability that the next customer in line will take less than eight minutes to be served?

c. What is the probability that the next customer in line will take between three and six minutes to be served?