Mathematics, 19.09.2020 01:01 mazolethrin5672
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?
Answers: 1
![P(X < 5 ) = P[ P(X = 0) + \cdots + P(X = 4)]](/tpl/images/0766/4418/56af9.png)
![P(X 6) = 1 - [P(X = 0 ) +\cdots+P(X = 6) ]](/tpl/images/0766/4418/98341.png)
![P(X 6) = 1 - [\left 12 } \atop {}} \right. C_0 *(0.267)^0 * (0.733)^{12 - 0 } +\cdots + \left 12 } \atop {}} \right. C_6 * (0.267)^6 * (0.733)^{12-6}]](/tpl/images/0766/4418/5e1df.png)
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According to a study done by a university student, the probability a randomly selected individual wi...
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