63% of American adults under age 35 believe Batman could win a fight over Superman. If a random sample of 10 adults under age 35 is selected, find the probability that exactly 8 believe Batman could win the fight. Then find the probability that 8 or more believe Batman could win the fight.
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.
Let X be an event that american adults under age 35 believe Batman could win a fight over Superman , and x follow Binomial distribution with and .
i.e. where,
Formula to calculate probability of X is,
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