According to a study done by Nick Wilson of Otago University Wellington, 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 they sneeze. Complete parts (a) through (c). (a) What is the probability that among 16 randomly observed individuals, exactly 7 do not cover their mouth when sneezing? Using the binomial distribution, the probability is: (Round to four decimal places as needed.) (b) What is the probability that among 16 randomly observed individuals, fewer than 3 do not cover their mouth when sneezing? Using the binomial distribution, the probability is. (Round to four decimal places as needed.) (c) Would you be surprised if, after observing 16 individuals, fewer than half covered their mouth when sneezing? Why? V be surprising, because using the binomial distribution, the probability is, which is V 0.05. (Round to four decimal places as needed.)

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A:

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A: The objective is to half the product of a number t and 48.

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A: Given,

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A: Topic:- integration

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A:

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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.