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 response to at least three decimal places.

Question

Mathematics

Gia Goodman

25 September, 09:46

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 response to at least three decimal places.

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Ryker Stephens · Answer 1

Step-by-step explanation:

let p is population defective rate,

and let n is sample size,

Given:

n = 80,

p = 3% = 3/100 = 0.03

So,

mean = n*p = 80 * 0.03

mean = 2.4 (defective pistons)

Standard deviation (SD) = sqrt (p * (1-p) * n) = sqrt (.03 * (1-0.03) * 80) = sqrt (.03*.97*80) = sqrt (2.328) = 1.52577 = 1.526