Consider a road that has a length of L kilometers and the number of potholes on this road follows the Poisson distribution. Assume that the average number of potholes per kilometer is 0.75. Also assume that the probability of having 2 potholes on L kilometer road is two-thirds of the probability of having 3 potholes for the same amount of distance. Answer the following questions. (a) What is L? (b) Find the approximate probability that there are more than 20 potholes on the road if the road were 30 kilometers long? (Still has the same average: 0.75 potholes per km.)

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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.