A group of 2n students consists of n math majors and n stats majors. The group is divided into n pairs uniformly at random. Let X be the number of pairs that consist of one math major and one stat major. Compute the expectation and variance of X.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A group of 2n students consists of n math majors and n stats majors. The group is divided into n pairs uniformly at random. Let X be the number of pairs that consist of one math major and one stat major. Compute the expectation and variance of X.

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