Suppose that a customer arrives at a checkout counter in a store just as the counter is opening.- A random number of customers N will be ahead of him, because some customers may arrive early. Suppose that this number has the probability distribution p(n) = P(N = n) = pq^n. n = 0, 1, 2,... where 0
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.
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1)Suppose that a customer arrives at a checkout counter in a store just as the counter is opening.- A random number of customers N will be ahead of him, because some customers may arrive early. Suppose that this number has the probability distribution p(n) = P(N = n) = pq^n. n = 0, 1, 2,... where 0 <p < 1 and q = 1-p (this is a form of the geometric distribution). Customer service times are assumed to be independent and identically distributed exponential random variables with a mean of 0. For a given n, find the waiting time W for the customer to complete his checkout b Find the distribution of waiting time for the customer to complete his checkout. 2) Find the mean and the variance of the waiting time for the custome complete his checkout.
1)Suppose that a customer arrives at a checkout counter in a store just as the counter is opening.- A random number of customers N will be ahead of him, because some customers may arrive early. Suppose that this number has the probability distribution p(n) = P(N = n) = pq^n. n = 0, 1, 2,... where 0 <p < 1 and q = 1-p (this is a form of the geometric distribution). Customer service times are assumed to be independent and identically distributed exponential random variables with a mean of 0. For a given n, find the waiting time W for the customer to complete his checkout b Find the distribution of waiting time for the customer to complete his checkout. 2) Find the mean and the variance of the waiting time for the custome complete his checkout.
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1)Suppose that a customer arrives at a checkout counter in a store just as the counter is opening.- A random number of customers N will be ahead of him, because some customers may arrive early. Suppose that this number has the probability distribution
p(n) = P(N = n) = pq^n. n = 0, 1, 2,...
where 0 <p < 1 and q = 1-p (this is a form of the geometric distribution). Customer service times are assumed to be independent and identically distributed exponential random variables with a mean of 0. For a given n, find the waiting time W for the customer to complete his checkout b Find the distribution of waiting time for the customer to complete his checkout.
2) Find the mean and the variance of the waiting time for the custome complete his checkout.
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