2. Fifty chief executive officers of small to medium-sized companies were classified according to their gender and functional background as shown in the table below: Functional Background Male Female Total Marketing 4 10 14 Finance 11 16 Operations 17 20 Total 32 18 50 (A) If a chief executive is randomly selected from this group what is the probability that the executive is a male? (B) What is the probability that a randomly selected executive from this group is a female whose functional background is marketing? (C)Assume that an executive is selected and you are told that the executive's functional background was in operations. What is the probability that this executive is a male?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Answer for sections A , B , C

2. Fifty chief executive officers of small to medium-sized companies were classified according to their
gender and functional background as shown in the table below:
Functional Background
Male
Female
Total
Marketing
4
10
14
Finance
11
16
Operations
17
3
20
Total
32
18
50
(A) If a chief executive is randomly selected from this group what is the probability that the executive
is a male?
(B) What is the probability that a randomly selected executive from this group is a female whose
functional background is marketing?
(C)Assume that an executive is selected and you are told that the executive's functional background
was in operations. What is the probability that this executive is a male?
(D) Assume that an executive is selected and you are told that the executive is a male. What is the
probability the executive's functional area is marketing?
(E) Are gender and functional background independent for this set of executives?
Transcribed Image Text:2. Fifty chief executive officers of small to medium-sized companies were classified according to their gender and functional background as shown in the table below: Functional Background Male Female Total Marketing 4 10 14 Finance 11 16 Operations 17 3 20 Total 32 18 50 (A) If a chief executive is randomly selected from this group what is the probability that the executive is a male? (B) What is the probability that a randomly selected executive from this group is a female whose functional background is marketing? (C)Assume that an executive is selected and you are told that the executive's functional background was in operations. What is the probability that this executive is a male? (D) Assume that an executive is selected and you are told that the executive is a male. What is the probability the executive's functional area is marketing? (E) Are gender and functional background independent for this set of executives?
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