Please do not give solution in image format thanku 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 18 randomly observed individuals, exactly 8 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 18 randomly observed individuals, fewer than 4 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 18 individuals, fewer than half covered their mouth when sneezing? Why?   - (Yes/no) it (would/would not) be surprising, because using the binomial distribution, the probability is: ____ which is (less/greater) than 0.05.   (Round to four decimal places as needed.)

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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 18 randomly observed individuals, exactly 8 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 18 randomly observed individuals, fewer than 4 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 18 individuals, fewer than half covered their mouth when sneezing? Why?

 

- (Yes/no) it (would/would not) be surprising, because using the binomial distribution, the probability is: ____ which is (less/greater) than 0.05.

 

(Round to four decimal places as needed.)

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