what is the maximum number of devices that we would need to randomly select to ensure that the probability of selecting a faulty device is < 2.5%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Q4

Given:
P(Z < -1.960) = 0.025
P(Z < -1.645) = 0.05
P(Z < -1.282) = 0.1
P(Z <-0.842) = 0.2
If the probability density function for the number of faulty devices
manufactured is normally distributed with a mean of 6 and a variance of 1,
what is the maximum number of devices that we would need to randomly
select to ensure that the probability of selecting a faulty device is < 2.5%?
01
2
04
8
None of the above
Transcribed Image Text:Given: P(Z < -1.960) = 0.025 P(Z < -1.645) = 0.05 P(Z < -1.282) = 0.1 P(Z <-0.842) = 0.2 If the probability density function for the number of faulty devices manufactured is normally distributed with a mean of 6 and a variance of 1, what is the maximum number of devices that we would need to randomly select to ensure that the probability of selecting a faulty device is < 2.5%? 01 2 04 8 None of the above
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