18. An engineering company has four openings and the applicant pool consists of 6 database administrators and eight network engineers. All are equally qualified so the hiring will be done randomly. The hiring committee consists of 4 women and 4 men. a. If one person on the hiring committee is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a woman b. How many ways can the group who are to be hired be formed if there are no restrictions on composition? c. How many ways can 3 database administrators be chosen?

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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Problem Set 3 Part 2
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e. What is the probability that the random selection of the five-person committee will
result in 3 Republicans and 2 Democrats?
18. An engineering company has four openings and the applicant pool consists of 6
database administrators and eight network engineers. All are equally qualified so the
hiring will be done randomly. The hiring committee consists of 4 women and 4 men.
a. If one person on the hiring committee is chosen at random to draw the names out of
a hat, what is the probability that the person drawing the names is a woman
b. How many ways can the group who are to be hired be formed if there are no
restrictions on composition?
How many ways can 3 database administrators be chosen?
d. How many ways can 1 network engineers be chosen?
e. What is the probability that the random selection of the four persons to be hired will
result in 3 database administrators and 1 network engineer?
С.
19. A student-faculty government committee of 4 people is to be formed from 20 student
volunteers and 5 faculty volunteers.
a. If one person from the group of volunteers is chosen at random to draw the names
out of a hat, what is the probability that the person drawing the names is a student?
b. How many ways can the committee of four be formed if there are no restrictions on
composition.
Transcribed Image Text:learn.umgc.edu U Problem Set 3 Part 2 - MATH 10... G real life suspect sample in math... b Math Homework Help, Textboo... Aleks Answers: Get Aleks Home... A ALEKS – Adaptive Learning & A... A Email Support UNIVERSITY OF MARYLAND MATH 105 6390 Topics for Mathemati... КН Куana Hunt GLOBAL CAMPUS Course Home Content Discussions Assignments My Tools v Resources v Classlist Help Table of Contents > Problem Sets > Problem Set 3 Part 2 > Problem Set 3 Part 2 Problem Set 3 Part 2 > e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrats? 18. An engineering company has four openings and the applicant pool consists of 6 database administrators and eight network engineers. All are equally qualified so the hiring will be done randomly. The hiring committee consists of 4 women and 4 men. a. If one person on the hiring committee is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a woman b. How many ways can the group who are to be hired be formed if there are no restrictions on composition? How many ways can 3 database administrators be chosen? d. How many ways can 1 network engineers be chosen? e. What is the probability that the random selection of the four persons to be hired will result in 3 database administrators and 1 network engineer? С. 19. A student-faculty government committee of 4 people is to be formed from 20 student volunteers and 5 faculty volunteers. a. If one person from the group of volunteers is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a student? b. How many ways can the committee of four be formed if there are no restrictions on composition.
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