According to a study done by a university student, the probability a randomly se

Question

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.

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 18 randomly observed individuals exactly 5 do not cover their mouth when sneezing? (b) What is the probability that among 18 randomly observed individuals fewer than 4 do not cover their mouth when sneezing? (c) Would you be surprised if, after observing 18 individuals, fewer than half covered their mouth when sneezing? Why? (a) The probability that exactly 5 individuals do not cover their mouth is (Round to four decimal places as needed.) (b) The probability that fewer than 4 individuals do not cover their mouth is (Round to four decimal places as needed.) c) This be surprising because the probability of observing fewer than half cove Round to four decimal places as needed.) ng their mouth when sneezing is which an unusual event.

Explanation / Answer

This would be a binomial distribution with parameters:

n = 18, p = 0.267

Hence from statistical software output:

a) P(X = 5) = 0.2050

b) P(X < 4) = 0.2511

c) P(X < 9) = 0.9706

Hence,

This would not be surprising because the probability of observing fewer than half covering their mount when sneezing is 0.9706, which is not an unusual event.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.