Flaws occur in Mylar material according to a Poisson distribution with a mean of 0.01 flaw per square yard.
If 25 square yards are inspected, what is the probability that there are no flaws?
What is the probability that a randomly selected square yard has no flaws?
Suppose that the Mylar material is cut into 10 pieces, each being 1 yard square. What is the probability that 8 or more of the 10 pieces will have no flaws? Hint: Let V denote the number of square yards out of 10 that contain no flaws. Then, V is a binomial random variable with n = 10 and p=P(Y=0) (from part (b).