### Square-foot painted section

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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?

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