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 25% High-risk stock 16% Short bond 10% Moderate-risk stock 25% Intermediate bond 6% Balanced 13% 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?
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 25% High-risk stock 16% Short bond 10% Moderate-risk stock 25% Intermediate bond 6% Balanced 13% 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?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 | 25% | High-risk stock | 16% |
---|---|---|---|
Short bond | 10% | Moderate-risk stock | 25% |
Intermediate bond | 6% | Balanced | 13% |
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
Given :
Fund | Probability |
Money-market | 0.25 |
Short bond | 0.1 |
Intermediate bond | 0.06 |
Long bond | 0.05 |
High-risk stock | 0.16 |
Moderate-risk stock | 0.25 |
Balanced | 0.13 |
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