Binomial Distribution · Exercise 30

Let X = the number of games won in that upcoming month.

The literacy rate for a nation measures the proportion of people age 15 and over that can read and write. The literacy rate in a certain country is 28.1%. Suppose you choose 15 people in that country at random. Let X = the number of people who are literate.

(a) Sketch a graph of the probability distribution of X.
(b) Using the formulas, calculate the (i) mean and (ii) standard deviation of X.
(c) Find the probability that more than five people in the sample are literate. Is it is more likely that three people or four people are literate.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §4.3 Binomial Distribution · Exercise 30