According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as (a) What is the probability that among 18 randomly observed individuals exactly 7 do not cover their mouth when sneezing? (b) What is the probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? (e) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why? (a) The probability that exactly 7 individuals do not cover their mouth is 0.1010 (Round to four decimal places as needed.) (b) The probability that fewer than 3 individuals do not cover their mouth is 0.1039 (Round to four decimal places as needed.) (e) Fewer than half of 18 individuals covering their mouth be surprising because the probability of observing fewer than half covering their mouth when sneezing is 0.9706 whi (Round to four decimal places as needed.)

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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.