At Technodynamics, Inc., a randomly-selected hiring committee of 4 people is formed from a group of 4 employees in marketing and 5 employees in management. a) Find the probability that the committee has exactly 3 employees from marketing. b) Find the probability that the committee has at least one employee from marketing. c) Find the probability that the committee has at most one employee from management. Using combination notation, set up the expression that can be used to find the total number of possible committees. (18 The total number of possible committees can be written as a) The probability that the committee has exactly 3 employees from marketing is (Round to four decimal places as needed.) b) The probability that the committee has at least one employee from marketing is (Round to four decimal places as needed.) c) The probability that the committee has at most one employee from management is (Round to four decimal places as needed.)

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 42E
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At Technodynamics, Inc., a randomly-selected hiring committee of 4 people is formed from a group of 4 employees in marketing and 5 employees in
management.
a) Find the probability that the committee has exactly 3 employees from marketing.
b) Find the probability that the committee has at least one employee from marketing.
c) Find the probability that the committee has at most one employee from management.
Using combination notation, set up the expression that can be used to find the total number of possible committees.
(8
The total number of possible committees can be written as
a) The probability that the committee has exactly 3 employees from marketing is
(Round to four decimal places as needed.)
b) The probability that the committee has at least one employee from marketing is
(Round to four decimal places as needed.)
c) The probability that the committee has at most one employee from management is
(Round to four decimal places as needed.)
Transcribed Image Text:At Technodynamics, Inc., a randomly-selected hiring committee of 4 people is formed from a group of 4 employees in marketing and 5 employees in management. a) Find the probability that the committee has exactly 3 employees from marketing. b) Find the probability that the committee has at least one employee from marketing. c) Find the probability that the committee has at most one employee from management. Using combination notation, set up the expression that can be used to find the total number of possible committees. (8 The total number of possible committees can be written as a) The probability that the committee has exactly 3 employees from marketing is (Round to four decimal places as needed.) b) The probability that the committee has at least one employee from marketing is (Round to four decimal places as needed.) c) The probability that the committee has at most one employee from management is (Round to four decimal places as needed.)
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