Question: 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 to the standards. Find this probability.
c. Calculate the expected value and standard deviation of the number of nonconforming bricks during a typical hour of production.