Question

According to a study done by Nick Wilson of Otago University Wellington, theprobability that a randomly selected individual will cover their mouth with a tissue,handkerchief, or elbow when sneezing is 0.047. Suppose you sit on a bench in a malland observe people's habits as they sneeze.What is the probability that among 15 randomly observed sneezing individuals,exactly 2 cover their mouth with a tissue, handkerchief, or elbow, rounded to thenearest ten-thousandth (4 decimal places)?

Answer 1

0.047 = universal probability of an individual covering their mouth with tissue, handkerchief, or elbow.

n = 15 random people

x = 2 (people covering their mouth with a tissue)

This question seems to a binomial probability question. Binomial because there are only two outcomes in this event: either they cover their mouth or they do not.