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Refer to Exercise 5.117. Suppose that the number N of

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 121E Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 121E

Problem 121E

Refer to Exercise 5.117. Suppose that the number N of alligators in the population is very large, with p1 = .3 and p2 = .1.

a Find the probability that, in a sample of five alligators, Y1 = 2 and Y2 = 1.

Reference

A population of N alligators is to be sampled in order to obtain an approximate measure of the difference between the proportions of sexually mature males and sexually mature females. Obviously, this parameter has important implications for the future of the population. Assume that n animals are to be sampled without replacement. Let Y1 denote the number of mature females and Y2 the number of mature males in the sample. If the population contains proportions p1 and p2 of mature females and males, respectively (with p1 + p2 < 1), find expressions for

Step-by-Step Solution:

Solution

Step 1 of 3

a) We have to find the probability of 5 alligators when Y1=2 and Y2=1

Given that and  

The pmf of multinomial distribution is

Here we have to find

                                            =

                                            =

                                            =0.0972

Hence the probability of 5 alligators when Y1=2 and Y2=1 is 0.0972


Step 2 of 3

Chapter 5, Problem 121E is Solved
Step 3 of 3

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. Since the solution to 121E from 5 chapter was answered, more than 506 students have viewed the full step-by-step answer. This full solution covers the following key subjects: mature, population, alligators, females, males. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The answer to “Refer to Exercise 5.117. Suppose that the number N of alligators in the population is very large, with p1 = .3 and p2 = .1.a Find the probability that, in a sample of five alligators, Y1 = 2 and Y2 = 1. ReferenceA population of N alligators is to be sampled in order to obtain an approximate measure of the difference between the proportions of sexually mature males and sexually mature females. Obviously, this parameter has important implications for the future of the population. Assume that n animals are to be sampled without replacement. Let Y1 denote the number of mature females and Y2 the number of mature males in the sample. If the population contains proportions p1 and p2 of mature females and males, respectively (with p1 + p2 < 1), find expressions for” is broken down into a number of easy to follow steps, and 135 words. The full step-by-step solution to problem: 121E from chapter: 5 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM.

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Refer to Exercise 5.117. Suppose that the number N of