Binomial Distribution. We conduct 8 trials with a probability​ π=.63 of success. ​(Round all answers to 3 decimal places as ​needed.)   ​(a) Find the probability of exactly 3 successes ​P(X=3​)   ​(b) Find the probability of​ (strictly) less than 3 successes P(X<3​)   ​(c) Find the probability of at most 3 successes P(X≤3​)   ​(d) Find the probability of ​ (strictly) more than 3 successes ​P(X>3​)   ​(e) Find the probability of 3 or more successes P(X≥3​)​   ​REMARK: the answer to​ (a) ​ + the answer to​ (d) must give the​ "same" result as​ (e)!

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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.