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. c. How many ways can two of the students be chosen?

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. c. How many ways can two of the students be chosen?

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Description: 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

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

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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Question

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.

c. How many ways can two of the students be chosen?

d. How many ways can 2 faculty be chosen?

e. What is the probability that the random selection of the four-person committee will result in two students and two faculty?

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