6. Records show that the probability is 0.0012 that a person will get food poisoning MT 4 0 spending a day at a certain state fair. Use the Poisson approximation to the binomial distribution to find the probability that among 1,000 persons attending the fair at most 2 will get food poisoning. 7. Suppose that the probabilities are 0.6, 0.2, 0.1 and 0.1 that a state income tax return will be filed out correctly, that it will contain only errors favoring the tax-payer, that it will contain only errors favoring the state, or that it will contain both kinds of errors. What is the probability that among 12 such income tax returns randomly chosen for audit, 5 will be filled out correctly, 4 2ill contain only errors favoring the taxpayer, 2 will contain only errors favoring the state, and 1 will contain both kinds of errors