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 21% High-risk stock 19% Short bond 10% Moderate-risk stock 25% Intermediate bond 7% 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 21% High-risk stock 19% Short bond 10% Moderate-risk stock 25% Intermediate bond 7% 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?

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Description: 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

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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?
A mutual fund company offers its customers a varietyof funds: a money-market fund, three different bondfunds (short, intermediate, and long-term), two stockfunds (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 areas follows:Money-market 20% High-risk stock 18%Short bond 15% Moderate-riskstock 25%Intermediate Balanced 7%bond 10%Long bond 5%A customer who owns shares in just one fund is randomlyselected.a. What is the probability that the selected individualowns shares in the balanced fund?b. What is the probability that the individual ownsshares in a bond fund?c. What is the probability that the selected individualdoes not own shares in a stock fund?
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Nicholas Grammas is an investment analyst examining the performance of two mutual funds with Janus Capital Group: the Janus Balanced Fund and the Janus Overseas Fund. The Janus Balanced Fund (JANBX): This “core” fund consists of stocks and bonds and its goal is diversification. It has historically produced solid long-term returns through different market cycles. The Janus Overseas Fund (JAOSX): This fund invests in overseas companies based on their individual merits instead of their geography or industry sector. The following table reports a portion of the annual returns (in percent) for these two funds from 2000–2016. Year. Balanced. Overseas 2000 -2.16 -18.57 2001 -5.04 -23.11 2002 -6.56 -23.89 2003 13.74 36.79 2004 8.71 18.58 2005 7.75 32.39 2006 10.56 47.21 2007 10.15 27.76 2008 -15.22 -52.75 2009 24.28 78.12 2010 7.83 19.28…
The advertising director for Diversey Paint and Supply, a chain of four retail stores on Chicago’s North Side, is considering two media possibilities. One plan is for a series of half-page ads in the Sunday Chicago Tribune newspaper, and the other is for advertising time on Chicago TV. The stores are expanding their lines of do-it-yourself tools, and the advertising director is interested in an exposure level of at least 40% within the city’s neighborhoods and 60% in northwest suburban areas. The TV viewing time under consideration has an exposure rating per spot of 5% in city homes and 3% in the northwest suburbs. The Sunday newspaper has corresponding exposure rates of 4% and 3% per ad. The cost of a half-page Tribune advertisement is $925; a television spot costs $2,000. Diversey Paint would like to select the least costly advertising strategy that would meet desired exposure levels. Formulate using LP. Solve the problem.
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A company makes three types of candy and packages them in three assortments. Assortment I contains 4 sour, 4 lemon, and 12 lime candies, and sells for P94. Assortment II contains 12 sour, 4 lemon, and 4 lime candies, and sells for P76. Assortment III contains 8 sour, 8 lemon, and 8 lime candies, and sells for P110. Manufacturing costs per piece of candy are P2 for sour, P2.50 for lemon, and P3 for lime. They can make 5,200 sour, 3,800 lemon, and 6,000 lime candies weekly. How many boxes of each type should the company produce each week in order to maximize its profit? What is the maximum profit?
Microbucks Computers makes two computers, the Pomegranate II and the Pomegranate Classic, at two different factories. The Pom II requires 2 processor chips, 18 memory chips, and 40 vacuum tubes, and the Pom Classic requires 1 processor chip, 2 memory chips, and 30 vacuum tubes. At the beginning of the year, Microbucks has in stock 600 processor chips, 9,000 memory chips, and 14,000 vacuum tubes at the Pom II factory and 500 processor chips, 2,000 memory chips, and 40,000 vacuum tubes at the Pom Classic factory. It manufactures 50 Pom IIs and 50 Pom Classics each month. Find the company's inventory of parts after 2 months, using matrix operations. Please enter your answer as a matrix in the following form: please give me the answer only......
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Your broker has suggested that you diversify your investments by splitting your portfolio among mutual funds, municipal bond funds, stocks, and precious metals. She suggests four good mutual funds, six municipal bond funds, seven stocks, and three precious metals (gold, silver, and platinum). (a) Assuming your portfolio is to contain one of each type of investment, how many different portfolios are possible? (b) Assuming your portfolio is to contain three mutual funds, five municipal bond funds, one stock, and two precious metals, how many different portfolios are possible?