A chicken sexer makes 1 error in every 500 examinations when he detects the sexes of chicks. a. Find the exact probability that he makes no more than 2 errors in 1,000 examinations. b. Using the Poisson distribution, find an approximate probability that he makes no more than 2 errors in 1,000 examinations.

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.