# Question

Suppose that you own a car dealership and purchase (randomly select) 7 cars of a certain make from a production run of 200 cars. Of the 200 cars, 160 are destined to last at least five years without needing a major repair. Set up an expression using the hypergeometric distribution for the probability that at least 6 of your 7 cars will last at least five years without needing a major repair. Then, using the binomial tables,approximate this probability by using the binomial distribution. What justifies the approximation?

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