QUESTION 9 1 points An investment firm has classified its clients according to their gender and the composition of their investment portfolio (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling into the various categories are shown in the following table: Gender Male Female Portfolio Composition Bonds 0.18 Stocks 0.20 0.10 Balanced 0.25 0.15 0.12 One client is selected at random, and two events A and B are defined as follows: A: The client selected is male. B: The client selected has a balanced portfolio. Are the events A and B independent? Events A and B are dependent O Events A and B are independent OEvents A and B are mutually exclusive O cannot be determined with given information

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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QUESTION 9
1 points
An investment firm has classified its clients according to their gender and the composition of their investment
portfolio (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling
into the various categories are shown in the following table:
Gender
Male
Female
Portfolio Composition
Bonds
0.18
0.12
Stocks
0.20
0.10
Balanced
0.25
0.15
One client is selected at random, and two events A and B are defined as follows:
A: The client selected is male.
B: The client selected has a balanced portfolio.
Are the events A and B independent?
Events A and B are dependent
O Events A and B are independent
OEvents A and B are mutually exclusive
Ocannot be determined with given information
Transcribed Image Text:QUESTION 9 1 points An investment firm has classified its clients according to their gender and the composition of their investment portfolio (primarily bonds, primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling into the various categories are shown in the following table: Gender Male Female Portfolio Composition Bonds 0.18 0.12 Stocks 0.20 0.10 Balanced 0.25 0.15 One client is selected at random, and two events A and B are defined as follows: A: The client selected is male. B: The client selected has a balanced portfolio. Are the events A and B independent? Events A and B are dependent O Events A and B are independent OEvents A and B are mutually exclusive Ocannot be determined with given information
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