A department at a school comprises 10 faculty and 8 administrators. They organize a committee of 8 people from the department. The committee members are randomly selected. Complete parts a through d.    Determine the probability that the committee consists of five faculty and three administrators.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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A department at a school comprises

10

faculty and

8

administrators. They organize a committee of

8

people from the department. The committee members are randomly selected. Complete parts a through d. 

 

Determine the probability that the committee consists of
five
faculty and
three
administrators.
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Follow-up Question
Calculate the mean and standard deviation for the distribution which defines selecting a faculty as a success.
 
The mean of this distribution is
Solution
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Follow-up Question

Determine the probability of selecting all faculty and no administrators

Solution
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Follow-up Question

 

 

Determine the probability that the committee consists of
six
faculty and
two
administrators.
 
 
Solution
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