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 usinga. The exact hypergeometric distribution.

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 usinga. The exact hypergeometric distribution.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Samples of size 20 are drawn from lots of 100 items, and the lots are rejected if the
number of defectives in the sample exceeds 2. If the true proportion of defectives in
the lot is 5 percent, determine the probability that a lot is accepted using
a. The exact hypergeometric distribution.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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