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In: Statistics and Probability

According to a study done by Nick Wilson of Otago University​ Wellington, the probability a randomly...

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)

Using the binomial​ distribution, what is the probability that among 16 randomly observed​ individuals, exactly 6 do not cover their mouth when​ sneezing?

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?

c) fewer than half of 16 individuals covering their mouth _____ be surprising because the probability of observing fewer than half covering their mouth when sneezing is
________, which ______ an unusual event

(round to four decimals!!!!)

.

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