Binomial Distribution · Exercise 22

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

More than 96 percent of the very largest colleges and universities (more than 15,000 total enrollments) have some online offerings. Suppose you randomly pick 13 such institutions. We are interested in the number that offer distance learning courses.

(a) In words, define the random variable X.
(b) List the values that X may take on.
(c) Give the distribution of X. X ~ _____(_____,_____)
(d) On average, how many schools would you expect to offer such courses?
(e) Find the probability that at most ten offer such courses.
(f) Is it more likely that 12 or that 13 will offer such courses? Use numbers to justify your answer numerically and answer in a complete sentence.

OpenStax, Introductory Statistics 2e · §4.3 Binomial Distribution · Exercise 22