Consider a permitting office that is run by two clerks. Suppose that when Mr. Edge enters the system, he discovers that Mr. Made is being served by one of the clerks and Mr. Green by the other. Mr. Edge is told that his service will begin as soon as either Green or Made leaves. Also, it is known that the amount of time that a clerk spends with a customer is exponentially distributed with mean 1/lambda.
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.
Consider a permitting office that is run by two clerks. Suppose that when Mr. Edge enters the system, he discovers that Mr. Made is being served by one of the clerks and Mr. Green by the other. Mr. Edge is told that his service will begin as soon as either Green or Made leaves. Also, it is known that the amount of time that a clerk spends with a customer is exponentially distributed with mean 1/lambda.
Question 3a: Define the random variables in this situation; for each random variable, explain all possible outcomes (the
Question 3b: What is the probability that, of the three customers, Mr. Edge is the last to leave the post office? Please show the mathematical expressions and explain your solution
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