Probability values based on the binomial distribution.

1. A company purchases shipments of machine components and uses this acceptance sampling plan: at random select and test 21 components and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 6 percent rate of defects, what is the probability that this whole shipment will be accepted?

2. An airline estimates that 98 percent of people booked on their flights actually show up. If the airline books 76 people on a flight for which the maximum number is 74, what is the possibility that the number of people who show up will exceed the capacity of the plane?