State of Nature Win Lose Decision Alternatives S2 Purchase Lottery Ticket, d, Do Not Purchase Lottery Ticket, d, 300,000 -2
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.
In a certain state lottery, a lottery ticket costs $2. In terms of the decision to purchase or
not to purchase a lottery ticket, suppose that the following payoff table applies:
a. A realistic estimate of the chances of winning is 1 in 250,000. Use the
approach to recommend a decision.
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Win
Lose
Decision Alternatives
S2
Purchase Lottery Ticket, d,
Do Not Purchase Lottery Ticket, d,
300,000
-2"
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