An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results. (a) The probability using the binomial distribution is (round to five decimal places as needed.) (b)The probability using the Poisson distribution is (Round to five decimal places as needed.)
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 4500 cars. b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results. (a) The probability using the binomial distribution is (round to five decimal places as needed.) (b)The probability using the Poisson distribution is (Round to five decimal places as needed.)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect.
(a) Use a binomial distribution to find the
b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results.
(a) The probability using the binomial distribution is (round to five decimal places as needed.)
(b)The probability using the Poisson distribution is (Round to five decimal places as needed.)
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