Q4. (a)Explain three differences between the Binomial and Paisson probability distributions with 3 examples of engineering applications of each. (b)The Binomial distribution is defined as follows: n! P(x) (n – x)! x! Here: n = number of triais (or number being sampled) x = number of successes desire p = probability of success in one triai q =1 p = probability of failure in one trial. 1= factorial The manufacturing process for winglets in an aircraft factory is found to have a probability of selecting a defective winglet as 0.03 i.e. 3%. Determine the following showing all stages of your working: (i) Probability of selecting 2 defective winglets in a batch of 50 (ii) Prabability of selecting 3 defective winglets in a batch of 100

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Q4.
(a)Explain three differences between the Binomial and Paisson probability distributions with
3 examples of engineering applications of each.
(b)The Binamial distribution is detined as follows:
n!
P(x)
(n – x)! x!
Here:
n= number of triais (or number being sampled)
x = number of successes desire
p = probability of success in one triai
q =1 p = probability of failure in one trial.
1= factorial
The manufacturing process for winglets in an aircraft factory is found to have a probability of
selecting a defective winglet as 0.03 i.e. 3%. Determine the following showing all stages of
your working:
(i)
Probability of selecting 2 defective winglets in a batch of 50
(ii)
Prabability of selecting 3 defective winglets in a batch of 100
Transcribed Image Text:Q4. (a)Explain three differences between the Binomial and Paisson probability distributions with 3 examples of engineering applications of each. (b)The Binamial distribution is detined as follows: n! P(x) (n – x)! x! Here: n= number of triais (or number being sampled) x = number of successes desire p = probability of success in one triai q =1 p = probability of failure in one trial. 1= factorial The manufacturing process for winglets in an aircraft factory is found to have a probability of selecting a defective winglet as 0.03 i.e. 3%. Determine the following showing all stages of your working: (i) Probability of selecting 2 defective winglets in a batch of 50 (ii) Prabability of selecting 3 defective winglets in a batch of 100
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