Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12.9, Problem 29P
Summary Introduction

Interpretation: Probability needs to be determined based on given data according to exact hypergeometric distribution.

Concept Introduction: The hyper geometric distributions help to determine the probability of events from a finite size of population without replacement. It is majorly used in statistical quality control.

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Samples of size 20 are drawn from lots of 100 items, and the lots are rejected if thenumber of defectives in the sample exceeds 2. If the true proportion of defectives inthe lot is 5 percent, determine the probability that a lot is accepted usingc. The Poisson approximation to the binomial
Samples of size 20 are drawn from lots of 100 items, and the lots are rejected if thenumber of defectives in the sample exceeds 2. If the true proportion of defectives inthe lot is 5 percent, determine the probability that a lot is accepted usingd. The normal approximation to the binomial.
Large-scale integrated (LSI) circuit chips are made in one department of an electronics firm. These chips are incorporated into analog devices that are then encased in epoxy. The yield is not particularly good for LSI manufacture, so the AQL specified by that department is 0.15 while the LTPD acceptable by the assembly department is 0.40. Assume the company is willing to accept a consumer's risk of 10 percent and a producer's risk of 5 percent. Find the sample size. Use Exhibit 10.16. Note: if the exact value of the computed LTPD ÷ AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio. Note: Round up your answer to the next whole number.   How would you tell someone to do the test?
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