a) Explain how Pascal's triangle may be used to identify the number of possible outcomes, based on five trials (i.e. n = 5). Derive an expression, based on a Binomial expansion, which shows the probability of each possible outcome. b) It is found that 2.5 % of the components removed at random from a semiconductor manufacturing facility are faulty. A sample of 5 components is withdrawn at random from the production line. Find the probability that: i) No components are faulty ii) All five components are faulty iii) One component is faulty
a) Explain how Pascal's triangle may be used to identify the number of possible outcomes, based on five trials (i.e. n = 5). Derive an expression, based on a Binomial expansion, which shows the probability of each possible outcome. b) It is found that 2.5 % of the components removed at random from a semiconductor manufacturing facility are faulty. A sample of 5 components is withdrawn at random from the production line. Find the probability that: i) No components are faulty ii) All five components are faulty iii) One component is faulty
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:a) Explain how Pascal's triangle may be used to identify the number of possible
outcomes, based on five trials (i.e. n = 5). Derive an expression, based on a
Binomial expansion, which shows the probability of each possible outcome.
b) It is found that 2.5 % of the components removed at random from a
semiconductor manufacturing facility are faulty. A sample of 5 components
is withdrawn at random from the production line.
Find the probability that:
i) No components are faulty
ii) All five components are faulty
ii) One component is faulty
iv) Two components are faulty
v) Three or more are faulty
vi) Less than two are faulty
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