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12-12-2022
Mathematics

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In each of the following situations, is it reasonable to use a binomial distribution for the random variable X? Give reasons for your answer in each case. a An auto manufacturer chooses one car from each hour's production for a detailed quality inspection. One variable recorded is the count X finish defects (dimples, ripples, etc.) in the car's paint. Is it reasonable to use a binomial distribution for the random variable X? A binomial distribution is not reasonable because trials are not independent and p is likely not constant. A binomial distribution is not reasonable because n is not fixed. A binomial distribution is not reasonable because there are more than two outcomes of interest. Yes, a binomial distribution is reasonable.

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