Question

According to a study carried out, the probability that a randomly selected individual covered his mouth with a handkerchief, napkin or elbow is 0.049. Suppose you sit on a bench in a shopping center to observe people's habits when sneezing. What is the probability that among 15 randomly observed individuals more than three cover their mouths with a handkerchief, napkin or elbow?

Answer 1

Use excel formula "=BINOM.DIST(x, n, p, FALSE)"

x	Excel formula	P(X=x) [rounded to four decimal places]
0	=BINOM.DIST(0, 15, 0.049, FALSE)	0.4707
1	=BINOM.DIST(1, 15, 0.049, FALSE)	0.3638
2	=BINOM.DIST(2, 15, 0.049, FALSE)	0.1312
3	=BINOM.DIST(3, 15, 0.049, FALSE)	0.0293

The probability that among 15 randomly observed individuals more than three cover their mouths with a handkerchief, napkin or elbow is