JESTION 6 1. A Financial Consultant has classified her clients according to their gender and the composition of their investr primarily stocks, or a balanced mix of bonds and stocks). The proportions of clients falling into the various cat table: Portfolio Composition er Bonds Stocks Balanced 0.18 0.20 0.25 le 0.12 0.10 0.15 client is selected at random, and two events A and B are defined as follows:

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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QUESTION 6
1. A Financial Consultant has classified her 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:
Portfolio Composition
Gender
Bonds
Stocks
Balanced
Male
0.18
0.20
0.25
Female
0.12
0.10
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.
Find the probability that the client selected has a balanced portfolio, given that the client is female (i.e. find P(B|A).
P(B|AS = 0.25/0.40 = 0.6250
O P(B|A) = 0.15/0.37 = 0.4054
O P(B|AS = 0.37/0.15 = 2.4667
O PIBIA) = 0.25/0.37 = 0.6756
Save All A
Transcribed Image Text:QUESTION 6 1. A Financial Consultant has classified her 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: Portfolio Composition Gender Bonds Stocks Balanced Male 0.18 0.20 0.25 Female 0.12 0.10 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. Find the probability that the client selected has a balanced portfolio, given that the client is female (i.e. find P(B|A). P(B|AS = 0.25/0.40 = 0.6250 O P(B|A) = 0.15/0.37 = 0.4054 O P(B|AS = 0.37/0.15 = 2.4667 O PIBIA) = 0.25/0.37 = 0.6756 Save All A
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