A factory produces a certain type of electrical components. Of the total production, 1% is defective. Find the probability that a randomly selected batch of 1000 will contain () 15 or more defectives; (i) exactly 12 defectives; (ii) less than 10 defectives. The expected lifetime of electric lightbulbs produced by a given process was 1500. To test a new batch, a sample of 10 was taken, which showed a mean lifetime of 1410 hours. The standard deviation is 90 hours. Test the hypothesis that the mean lifetime of the electric light bulbs has not changed, using a 5% significance level.

A factory produces a certain type of electrical components. Of the total production, 1% is defective. Find the probability that a randomly selected batch of 1000 will contain () 15 or more defectives; (i) exactly 12 defectives; (ii) less than 10 defectives. The expected lifetime of electric lightbulbs produced by a given process was 1500. To test a new batch, a sample of 10 was taken, which showed a mean lifetime of 1410 hours. The standard deviation is 90 hours. Test the hypothesis that the mean lifetime of the electric light bulbs has not changed, using a 5% significance level.

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Description: A factory produces a certain type of electrical components. Of the totalproduction, 1% is defective. Find the probability that a randomlyselected batch of 1000 will contain()15 or more defectives;(i)exactly 12 defectives;(ii) less than 10 defectives

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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Question

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A factory produces a certain type of electrical components. Of the total
production, 1% is defective. Find the probability that a randomly
selected batch of 1000 will contain
()
15 or more defectives;
(i)
exactly 12 defectives;
(ii) less than 10 defectives.
The expected lifetime of electric lightbulbs produced by a given process
was 1500. To test a new batch, a sample of 10 was taken, which showed
a mean lifetime of 1410 hours. The standard deviation is 90 hours.
Test the hypothesis that the mean lifetime of the electric light bulbs has
not changed, using a 5% significance level.

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