Suppose that 5 friends go to a carnival and each tries once to pop a balloon with a dart to win a prize. Jen plays darts regularly and will pop a balloon on 80% of her attempts, Bob has never thrown a dart and will pop a balloon only 25% of the time, and the 3 other friends will all pop a balloon about half the time. Let X be the number of balloons popped by the 5 friends. Does X have a binomial distribution?
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.
Suppose that 5 friends go to a carnival and each tries once to pop a balloon with a dart to win a prize. Jen plays darts regularly and will pop a balloon on 80% of her attempts, Bob has never thrown a dart and will pop a balloon only 25% of the time, and the 3 other friends will all pop a balloon about half the time. Let X be the number of balloons popped by the 5 friends. Does X have a binomial distribution?
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