Question

Approximately 72% of adult men at WeRock University are less than 6 feet tall. Five male students are selected at random. a) Determine the probability that at least one of them will be less than 6 feet tall. b) Would it be unusual for none of the selected males to be less than 6 feet tall? Why? Also how is this placed in ti-84 Plus CE in order to calculate?

Answer 1

Probability of a male having height less than 6 feet is 0.72, and we have selected 5 males.

As each male is independent of the other, we use binomial distribution with n=5, p=0.72

The probability of r number of males to have height less than 6 feet is given by

a) Required probability is

b) Probability that none of the selected males to be less than 6 feet tall is

As this probability is less than 0.05

So yes, its unusual for none of the selected males to be less than 6 feet tall.

Note: ti-84 Plus CE has commands for running binomial distribution please follow those