In: Statistics and Probability
According to a study done by Nick Wilson of Otago University Wellington, 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. Complete parts (a) through (c).
(a)
Using the binomial distribution, what is the probability that among 16 randomly observed individuals, exactly 6 do not cover their mouth when sneezing?
The probability is....________
(Round to four decimal places as needed)
b) What is the probability that among 16 randomly observed individuals fewer than 3 do not cover their mouth when sneezing?
c) fewer than half of 16 individuals covering their mouth _____
be surprising because the probability of observing fewer than half
covering their mouth when sneezing is
________, which ______ an unusual event
(round to four decimals!!!!)
.