An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect.   ​(a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 5500 cars. ​(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat​ (a) using a Poisson distribution and compare the results.

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Q: conditions required for a random variable X to follow a Poisson process.

A: *Answer:

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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.