a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. ) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your respon: to at least three decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
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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A machine that manufactures automobile pistons is estimated to produce a defective piston 1% of the time. Suppose that this estimate is correct and that a
random sample of 80 pistons produced by this machine is taken.
Answer the following.
(If necessary, consult a list of formulas.)
(a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution
(that is, the expectation of the relevant random variable). Do not round your response.
(b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response
to at least three decimal places.
Transcribed Image Text:A machine that manufactures automobile pistons is estimated to produce a defective piston 1% of the time. Suppose that this estimate is correct and that a random sample of 80 pistons produced by this machine is taken. Answer the following. (If necessary, consult a list of formulas.) (a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
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