1. A steady stream of newspapers is sampled at a rate of six per hour. The inspector checks the newspaper for printing legibility. If the first page of the paper is not clearly printed, the paper is recycled. Currently, the fraction nonconforming in the lot is 0.030. What is the probability that two of the six papers checked will be nonconforming? (Solve the problem twice, one time use binomial and one time use Poisson)
2. An assembly line runs and produces a large number of units. At the end of the line an inspector checks the product, labeling it as either conforming or nonconforming. The average fraction of nonconforming is 0.38. When a sample size 15 is taken, what is the probability that 5 nonconforming units will occur? (Solve the problem using normal distribution).