In a hall, one row has 20 seats. The GSI randomly permutes 20 students into those 20 seats. a) Students A and B are among the 20 students in the row. Find the decimal value of the expected number of students sitting between them. b) The 20 students in the row include 7 Data Science majors. Find the expected number of Data Science majors who are not seated next to another Data Science major. You don't have to find the decimal value.

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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In a hall, one row has 20 seats. The GSI randomly permutes 20 students into those 20 seats.

a) Students A and B are among the 20 students in the row. Find the decimal value of the expected number of students sitting between them.

b) The 20 students in the row include 7 Data Science majors. Find the expected number of Data Science majors who are not seated next to another Data Science major. You don't have to find the decimal value.

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