A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows. Money-market 23% High-risk stock 16% Short bond 10% Moderate-risk stock 25% Intermediate bond 6% Balanced 15% Long bond 5% A customer who owns shares in just one fund is randomly selected. (a) What is the probability that the selected individual owns shares in the balanced fund? (b) What is the probability that the individual owns shares in a bond fund? (c) What is the probability that the selected individual does not own shares in a stock fund?

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A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers
who own shares in just one fund, the percentages of customers in the different funds are as follows.
Money-market
23%
High-risk stock
16%
Short bond
10%
Moderate-risk stock
25%
Intermediate bond
6%
Balanced
15%
Long bond
5%
A customer who owns shares in just one fund is randomly selected.
(a) What is the probability that the selected individual owns shares in the balanced fund?
(b) What is the probability that the individual owns shares in a bond fund?
(c) What is the probability that the selected individual does not own shares in a stock fund?
Transcribed Image Text:A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows. Money-market 23% High-risk stock 16% Short bond 10% Moderate-risk stock 25% Intermediate bond 6% Balanced 15% Long bond 5% A customer who owns shares in just one fund is randomly selected. (a) What is the probability that the selected individual owns shares in the balanced fund? (b) What is the probability that the individual owns shares in a bond fund? (c) What is the probability that the selected individual does not own shares in a stock fund?
Expert Solution
Step 1

a)

The percentage of customers in different type of funds, and bonds are given.

Money-market

23%

Short bond

10%

Intermediate bond

6%

Long bond

5%

High-risk stock

16%

Moderate-risk stock

25%

Balanced

15%

 

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