An automobile manufacturer finds that 1 in every 2000 automobiles produced has a particular manufacturing defect. (a)
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Question:
An automobile manufacturer finds that 1 in every
2000
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
7000
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.
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Part 1
(a) The probability using the binomial distribution is
enter your response here.
(Round to five decimal places as needed.)
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