10th Edition

ISBN: 9780134753751

Author: Ross

Publisher: PEARSON

Concept explainers

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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Textbook Question

Chapter 4, Problem 4.51P

Each member of a population of size n is, independently, female with probability p or male with probability 1 − p . Let X be the number of the other n − 1 members of the population that are the same sex as is person 1. (So X = n − 1 if all n people are of the same sex.)

a. Find P ( X = i ) , i = 0 , ... , n − 1 .

Now suppose that two people of the same sex will, independently of other pairs, be friends with probability a ; whereas two persons of opposite sexes will be friends with probability β . Find the probability mass function of the number of friends of person 1.

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Chapter 4, Problem 4.50P

Chapter 4, Problem 4.52P

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Chapter 4 Solutions

FIRST COURSE IN PROBABILITY (LOOSELEAF)

Ch. 4 - Two balls are chosen randomly from an urn...Ch. 4 - Two fair dice are rolled, Let X equal the product...Ch. 4 - Three dice are rolled. By assuming that each of...Ch. 4 - Five men and 5 women are ranked according to their...Ch. 4 - Let X represent the difference between the number...Ch. 4 - In Problem 4.5 for n=3, if the coin is assumed...Ch. 4 - Suppose that a die is rolled twice. What are the...Ch. 4 - If the die in Problem 4.7 is assumed fair,...Ch. 4 - Repeat Example 1c, when the balls are selected...Ch. 4 - Let X be the winnings of a gambler. Let...

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