A multinational business unit has an examination system for the batches of ventilator units bought from dealers. A batch typically comprises 80 ventilators. In the inspection system, a random sample of 20 is selected and all are tested. Suppose there are 6 faulty ventilators in the batch of 80. What is the probability that for a given sample there will be less than 3 faulty ventilator?

A multinational business unit has an examination system for the batches of ventilator units bought from dealers. A batch typically comprises 80 ventilators. In the inspection system, a random sample of 20 is selected and all are tested. Suppose there are 6 faulty ventilators in the batch of 80. What is the probability that for a given sample there will be less than 3 faulty ventilator?

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Description: A multinational business unit has an examination system for the batches of ventilator units bought from dealers. A batch typically comprises 80 ventilators. In the inspection system, a random sample of 20 is selected and all are tested. Suppose there

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

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Step 1

The binomial probability distribution is,

$P (X = x) = (\begin{matrix} n \\ x \end{matrix}) {(p)}^{x} {(1 - p)}^{n - x}$

In the formula, n denotes the number of trails, p denotes probability of success, and x denotes the number of success.

The random variable X is defined as the number of faulty ventilators which follows binomial distribution with sample size 20 and probability of success 0.075 $(= \frac{6}{80})$ .

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