An office manager feels that for a certain kind ofbusiness the daily number of incoming telephone calls is a random variable having a Poisson distribution, whoseparameter has a prior gamma distribution with α = 50and β = 2. Being told that one such business had 112 incoming calls on a given day, what would be her esti-mate of that particular business’s average daily number of incoming calls if she considers(a) only the prior information;(b) only the direct information; (c) both kinds of information and the theory of Exer-cise 77?
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.
An office manager feels that for a certain kind of
business the daily number of incoming telephone calls is
a random variable having a Poisson distribution, whose
parameter has a prior gamma distribution with α = 50
and β = 2. Being told that one such business had 112
incoming calls on a given day, what would be her esti-
mate of that particular business’s average daily number
of incoming calls if she considers
(a) only the prior information;
(b) only the direct information;
(c) both kinds of information and the theory of Exer-
cise 77?
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