Question: Problem #2: You are examining a brick manufacturing facility. The process has historically produced 5% nonconforming bricks. Under normal circumstances, this facility makes 25 bricks per hour.

(a) Find the probability that there will be exactly 2 nonconforming bricks during the next hour of production.

(b) Management is really more concerned about the probability that at least 1 brick in the next hour’s production fails to conform the standards. Find this probability.

(c) Calculate the expected value and standard deviation of the nonconforming bricks during a typical hour of production.