Section 6.2 Homework Question 5 Answer

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Section 6.2 Homework

5. 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 6 do not cover their mouth when​ sneezing?

​(​b)What is the probability that among 12 randomly observed individuals fewer than 3 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) The probability that exactly 6 individuals do not cover their mouth is

​(​b) The probability that fewer than 3 individuals do not cover their mouth is

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This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Section 6.2 Homework