Question 1: An environmental engineer places monitors in a large number of streams to measure the amount of pollutants in the water. If the amount of pollutants exceeds a certain level, the water is considered nonconforming. In the past, the proportion nonconforming has been 0.05.
What is the probability that more than one of the 15 samples taken per day will contain an excessive amount of pollutants?
Question 2: The Tasty Morsel Company wants to study the candy bag inspector's testing rate. Sample bags are opened and the contents checked. Inspectors can get very busy when production increases shortly before any holiday. From experience, the inspectors have their workstations set up to handle two new bags arriving every minute on average.
Find the probability that in any given minute, the inspectors will have to deal with four bags arriving to be inspected.