Assume that random guesses are made for twelve multiple choice questions on an SAT test, so that there are n= 12 trials, each with probability of success (correct) given by p = 0.45. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4. The probability of obtaining x successes in n independent trials of a procedure that follows a binomial distribution, where the probability of success is p, is given by the following formula. P(x) = ,Cp*(1 - p)" -X, x=0,1,2,.n

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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.