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A machine that manufactures automobile pistons is estimated to produce a defective piston 3% 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 machine that manufactures automobile pistons is estimated to produce a defective piston 3% 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A machine that manufactures automobile pistons is estimated to produce a defective piston 3% 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. 0 (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. 0 Check # C $ Σ 31 % B & X Save For Later Submit Assign © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acce
Transcribed Image Text:A machine that manufactures automobile pistons is estimated to produce a defective piston 3% 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. 0 (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places. 0 Check # C $ Σ 31 % B & X Save For Later Submit Assign © 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acce
Expert Solution
Step 1: Identify the parameters:

The given scenario follows binomial distribution with n=80 and p=0.03.


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