The number of defective components produced by a certain process in one day has a Poisson distribution with mean 20. Each defective component has probability 0.60 of being repairable. a) Find the probability that exactly 15 defective components are produced. b) Given that exactly 15 defective components are produced, find the probability that exactly 10 of them are repairable. c) Let N be the number of defective components produced, and let X be the number of them that are repairable. Given the value of N, what is the distribution of X? d) Find the probability that exactly 15 defective components are produced, with exactly 10 of them being repairable.
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.
The number of defective components produced by a certain process in one day has a Poisson distribution with mean 20. Each defective component has probability 0.60 of being repairable. a) Find the probability that exactly 15 defective components are produced. b) Given that exactly 15 defective components are produced, find the probability that exactly 10 of them are repairable. c) Let N be the number of defective components produced, and let X be the number of them that are repairable. Given the value of N, what is the distribution of X? d) Find the probability that exactly 15 defective components are produced, with exactly 10 of them being repairable.
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