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 they sneeze. A) What is the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing?
B) What is the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing?(
C) Would you be surprised if, after observing 12 individuals, fewer than half covered their mouth when sneezing? Why?

A

B

C

I will not be surprised because the probability that fewer than half covered their mouth when sneezing is less than 0.5

Step-by-step explanation:

From the question we are told that

   The probability a randomly selected individual will not cover his or her mouth when sneezing is

    The probability a randomly selected individual will cover his or her mouth when sneezing is

Generally the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when sneezing is mathematically represented as

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when sneezing is mathematically represented as

=>        

=>    

Give that half of  12 is  6 then

The probability that fewer than half covered their mouth when sneezing is mathematically represented as

  =>

 =>

=>    

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step-by-step explanation: