College-Pro Painting does home interior and exterior painting. The company uses inexperienced painters that do not always do a high-quality job. It believes that its painting process can be described by a Poisson distribution with an average of 4.8 defects per 400 square feet of painting.
a. What is the probability that a 400-square-foot painted section will have fewer than 6 blemishes?
b. What is the probability that six randomly sampled sections of size 400 square feet will each have 7 or fewer blemishes?