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Twenty-fivepercent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. (Round all answers to three decimal places.)(a) Among15randomly selected

Twenty-fivepercent of all automobiles undergoing an emissions inspection at a certain inspection station fail the inspection. (Round all answers to three decimal places.)(a) Among15randomly selected cars, what is the probability that at most5fail the inspection?

(b) Among15randomly selected cars, what is the probability that between5and10(inclusive) fail to pass inspection?

(c) Among 25 randomly selected cars, what is the mean value of the number that pass inspection, and what is the standard deviation of the number that pass inspection?

Mean =

Standard deviation =

(d) What is the probability that among 25 randomly selected cars, the number that pass is within 1 standard deviation of the mean value?

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