Following the model above, if 128 different people each observe one randomly chosen groups of four people, how many times on average do these observations lead to the conclusion that the person's chosen group is interesting? イ

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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Following the model above, if 128 different people each observe one randomly chosen groups of four people, how many times on average do these
observations lead to the conclusion that the person's chosen group is interesting?
Transcribed Image Text:Following the model above, if 128 different people each observe one randomly chosen groups of four people, how many times on average do these observations lead to the conclusion that the person's chosen group is interesting?
With the setup as in the problem above, we say a group of four people is "interesting", if there are at most five pairs who are friends. AsSsume that each
pair of people are friends, independent of every other pair, with probability 1/2. Let N be the number of pairs that are friends in this group.
• What distribution does N follow?
Poisson
O Bernoulli
Binomial
• What is the probability that a randomly chosen group of four peopie is "interesting"? (Enter your answer as a fraction (recommended) or enter as a
decimal accurate to nearest 0.001.)
T (N 5) =
Transcribed Image Text:With the setup as in the problem above, we say a group of four people is "interesting", if there are at most five pairs who are friends. AsSsume that each pair of people are friends, independent of every other pair, with probability 1/2. Let N be the number of pairs that are friends in this group. • What distribution does N follow? Poisson O Bernoulli Binomial • What is the probability that a randomly chosen group of four peopie is "interesting"? (Enter your answer as a fraction (recommended) or enter as a decimal accurate to nearest 0.001.) T (N 5) =
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