SOLUTION: 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:
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Question 1175345: 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 5 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 female? [2]
b. What is the probability that a randomly selected executive from this group is a male whose functional background is marketing? [2]
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 female? [2]
d. Assume that an executive is selected, and you are told that the executive is a female. What is the probability the executive’s functional area is marketing? [2]
e. Are gender and functional background independent for this set of executives? [2]
Hi
Male Female T
M 4 10 14
F 11 5 16
O 17 3 20
T 32 18 50
a. P(female) = 18/50
b. P(Male & M) = 4/50
c. P(Female |O) = 3/20
d. P(O |Female )= 3/18
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