SOLUTION: 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 be

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Question 1168749: 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 7 do not cover their mouth when​ sneezing?
​(b) What is the probability that among 12 randomly observed individuals fewer than 4 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?
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.

            Instead of doing this routine calculations for you,  I


1)   will tell you that these problems relate to the binomial distribution probability problems

        and

2)   will refer to the lessons

    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
    - How to calculate Binomial probabilities with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using online solver)

in this site.

You will find there many similar typical problems of this class,  solved with all details and showing different methods.

So, learning from these lessons,  you will be able to solve such problems on your own,  which is your  PRIMARY  MAJOR  GOAL
visiting this forum.


Happy learning  (!)