A fraction 0.014 of the output from a production line is defective. A sample of 95 items is taken. Assume defective items occur randomly and independently. a) What is the standard deviation of the proportion defective in a sample of this size? b) What is the probability that the proportion of defective items in the sample will be within two standard deviations of the fraction defective in the whole population?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A fraction 0.014 of the output from a production line is defective. A sample of 95
items is taken. Assume defective items occur randomly and independently.
a) What is the standard deviation of the proportion defective in a sample of this
size?
b) What is the probability that the proportion of defective items in the sample
will be within two standard deviations of the fraction defective in the whole
population?
Transcribed Image Text:A fraction 0.014 of the output from a production line is defective. A sample of 95 items is taken. Assume defective items occur randomly and independently. a) What is the standard deviation of the proportion defective in a sample of this size? b) What is the probability that the proportion of defective items in the sample will be within two standard deviations of the fraction defective in the whole population?
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