the probability that among 10 randomly observed individuals exactly 6 do not cover their mouth when sneezing? s the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why? obability that exactly 6 individuals do not cover their mouth is 0.0220 . four decimal places as needed.) obability that fewer than 3 individuals do not cover their mouth is four decimal places as needed.)

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According to a study done by a university student, the probability that 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 10 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

(b) What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?

(c) Would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why?

---

(a) The probability that exactly 6 individuals do not cover their mouth is 0.0220. (Round to four decimal places as needed.)

(b) The probability that fewer than 3 individuals do not cover their mouth is [   ]. (Round to four decimal places as needed.)
Transcribed Image Text:According to a study done by a university student, the probability that 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 10 randomly observed individuals exactly 6 do not cover their mouth when sneezing? (b) What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 10 individuals, fewer than half covered their mouth when sneezing? Why? --- (a) The probability that exactly 6 individuals do not cover their mouth is 0.0220. (Round to four decimal places as needed.) (b) The probability that fewer than 3 individuals do not cover their mouth is [ ]. (Round to four decimal places as needed.)
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