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15 people arrive separately to a professional dinner. Upon arrival, each person looks to see if he or she has any friends among those present. That person then either sits at the table of a friend or at an unoccupied table is none of those present is a friend. Assuming that each of 15 the () pairs of people are, independently, friends with probability 0.6, find the expected number of occupied tables. (Hint: One possible approach is to define, for example, X, to be the random variable whose value is 1 if the third person to arrive sits at an unoccupied table and 0 otherwise.) Answer: The expected number of occupied tables is

15 people arrive separately to a professional dinner. Upon arrival, each person looks to see if he or she has any friends among those present. That person then either sits at the table of a friend or at an unoccupied table is none of those present is a friend. Assuming that each of 15 the () pairs of people are, independently, friends with probability 0.6, find the expected number of occupied tables. (Hint: One possible approach is to define, for example, X, to be the random variable whose value is 1 if the third person to arrive sits at an unoccupied table and 0 otherwise.) Answer: The expected number of occupied tables is

A First Course in Probability (10th Edition)
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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15 people arrive separately to a professional dinner. Upon arrival, each person looks to see if he or she has any friends among those present. That person then either sits at the table of a friend or at an unoccupied table is none of those present is a friend. Assuming that each of the (5) pairs of people are, independently, friends with probability 0.6, find the expected number of occupied tables. (Hint: One possible approach is to define, for example, X, to be the random variable whose value is 1 if the third person to arrive sits at an unoccupied table and 0 otherwise.) Answer: The expected number of occupied tables is
Transcribed Image Text:15 people arrive separately to a professional dinner. Upon arrival, each person looks to see if he or she has any friends among those present. That person then either sits at the table of a friend or at an unoccupied table is none of those present is a friend. Assuming that each of the (5) pairs of people are, independently, friends with probability 0.6, find the expected number of occupied tables. (Hint: One possible approach is to define, for example, X, to be the random variable whose value is 1 if the third person to arrive sits at an unoccupied table and 0 otherwise.) Answer: The expected number of occupied tables is
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