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.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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