A machine manufactures 300 micro-chips per hour. The probability an individual chip is faulty is 0.01. Calculate the probability that (a) two (b) four (c) more than three faulty chips are manufactured in a particular hour. Use both the binomial and Poisson approximations and compare the resulting probabilities.

A machine manufactures 300 micro-chips per hour. The probability an individual chip is faulty is 0.01. Calculate the probability that (a) two (b) four (c) more than three faulty chips are manufactured in a particular hour. Use both the binomial and Poisson approximations and compare the resulting probabilities.

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Description: A machine manufactures 300 micro-chips per hour. The probability an individual chip is faulty is 0.01. Calculatethe probability that (a) two (b) four (c) more than three faulty chips are manufactured in a particular hour. Useboth the binomial and Po

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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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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A machine manufactures 300 micro-chips per hour. The probability an individual chip is faulty is 0.01. Calculate
the probability that (a) two (b) four (c) more than three faulty chips are manufactured in a particular hour. Use
both the binomial and Poisson approximations and compare the resulting probabilities.

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