Bob, the proprietor of Midway Lumber, bases his projections for the annual revenues of the company on the performance of the housing market. He rates the performance of the market as very strong, strong, normal, weak, or very weak. For the next year, Bob estimates that the probabilities for these outcomes are 0.15, 0.23, 0.41, 0.07, and 0.14, respectively. He also thinks that the revenues corresponding to these outcomes are $25, $18.9, $16.3, $17, and $8 million, respectively. What is Bob's expected revenue for next year? (Round your answer to two decimal places.) $ million

Bob, the proprietor of Midway Lumber, bases his projections for the annual revenues of the company on the performance of the housing market. He rates the performance of the market as very strong, strong, normal, weak, or very weak. For the next year, Bob estimates that the probabilities for these outcomes are 0.15, 0.23, 0.41, 0.07, and 0.14, respectively. He also thinks that the revenues corresponding to these outcomes are $25, $18.9, $16.3, $17, and $8 million, respectively. What is Bob's expected revenue for next year? (Round your answer to two decimal places.) $ million

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...

See similar textbooks

Similar questions

A brokerage firm has been tasked with investing $750,000 for a new client. The client has asked that the broker select promising stocks and bonds for investment, subject to the following guidelines: at least 10% in municipal bonds, at least 20% each in real estate and pharmaceutical stock, and at least 30% in a combination of energy and domestic automobile stocks with each accounting for at least 15%. The returns are as follows: Municipal = 6.5%, Domestic Automobile = 7.9%, Energy = 5.1%, Pharmaceuticals = 8.4% and Real Estate = 6.3%. a) Write a linear program complete with objective function and all constraints to Maximize the return. b) What is the optimal solution? Give values for all variables rounded to the nearest cent. c) How much annual income does the optimal solution generate?
An investor is concerned with the market return for the coming year, where the market return is defined as the percentage gain (or loss, if negative) over the year. The investor believes there are five possible scenarios for the national economy in the coming year: rapid expansion, moderate expansion, no growth, moderate contraction, and serious contraction. Furthermore, she has used all of the information available to her to estimate that the market returns for these scenarios are, respectively, 23%, 18%, 15%, 9%, and 3%. That is, the possible returns vary from a high of 23% to a low of 3%. Also, she has assessed that the probabilities of these outcomes are 0.12, 0.40, 0.25, 0.15, and 0.08. Use this information to describe the probability distribution of the market return. Compute the following for the probability distribution of the market return for the coming year.: 1. Mean, 2. Variance, 3. Standard deviation
Scenario. Much like the decision to start a business, the decision to attend college is fraught with risk; however, the risk of entering the job market with only a high school diploma is just as great. As the U.S. transformed from a manufacturing-based economy to an economy based on knowledge, high school graduates are often unable to obtain the number of high-paying jobs that were once available. College graduates earn more-some suggest as a much as 60% more over a lifetime than those without a college degree, and have a lower divorce rate, lower blood pressure and stress levels, and higher rates of job stability and satisfaction. However, a college education may not be the right choice for some. There may be a glut of college-educated workers in our workforce, and many careers, including those in cosmetology, do not require a college degree. The U.S. Department of Labor projects jobs for hairdressers, hairstylists, cosmetologists, and skin care specialists to grow 9-17% through the…
Two investments, X and Y, have the characteristics shown below. E(X) = $60, E(Y) = $90, o = 10,000, o? = 17,000 and axy = 6,500 If the weight of portfolio assets assigned to investment X is 0.8, calculate the a. portfolio expected return and b. portfolio risk. a. If the weight of portfolio assets assigned to investment X is 0.8, the portfolio expected return is $ (Type an integer or a decimal.) b. If the weight of portfolio assets assigned to investment X is 0.8, the portfolio risk is approximately $. (Round to two decimal places as needed.)
You are analyzing stocks of three companies you are interested in investing in. Suppose that these three stocks are Apple stock (AAPL), Microsoft (MSFT), and Tesla (TSLA). At the end of this month, each month may move up (increase in value), move down (decrease in value) or stay the same. In this case, an experiment consists of observing the price condition across the three stocks. Each of the three conditions (move up, move down, stay same) are equally likely. How many outcomes are in the sample space? List 7 of the outcomes. (use U for move up, D for moving down and S for staying the same) Let A be the event that all the stocks have the same performance. List the outcomes in A. Let B be the event that all of stocks are different. List the outcomes in B. Let C be the event that at least two stocks move up. Are events A and C mutually exclusive? Are events B and C mutually exclusive? What is the probability of ? What is the probability of ? What is the probability of ? What is the…
An option to buy a stock is priced at $210. If the stock closes above 30 on May 15, the option will be worth $900. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30 (inclusively), the option will be worth $180. A trader thinks there is a 45% chance that the stock will close in the 20–30 range, a 25% chance that it will close above 30, and a 30% chance that it will fall below 20 on May 15. How much do they expect to gain? Should they buy the stock option? Explain.
Bob, the proprietor of Midway Lumber, bases his projections for the annual revenues of the company on the performance of the housing market. He rates the performance of the market as very strong, strong, normal, weak, or very weak. For the next year, Bob estimates that the probabilities for these outcomes are 0.15, 0.23, 0.41, 0.10, and 0.11, respectively. He also thinks that the revenues corresponding to these outcomes are $25, $18.5, $16.8, $14, and $13 million, respectively. What is Bob's expected revenue for next year? (Round your answer to two decimal places.)$ million
Question 3 My friend, Ahmad, is trying to determine which of two opportunities he should invest in (only one of them). His options are Bitcoin and S&P 500. If he invests in Bitcoin, he believes that he has a 10% chance of making 15% profit, a 25% chance of only 8% profit, 15% of losing 10% of his investment capital (-10%), and a 50% chance of no change in his investment capital (0%). IH Ahmad invests in S6PS00, he has a 70% chance for the 8% profit, a 25% chance for no change (0%), 3% chance for losing -10%, and 2% for a 15% profit. Ahmad is indifferent between the following lotteries. 15% o and also indifferent between 15% and If Ahmad wants to invest in what maximizes his expected return on investment, which investment is the best? Please note: x-0.79 and y-0.06. In the box below put the expected utility for the investment he should pick. Write your answer with three decimals.
A company is trying to decide if they should make a bid on a project that would generate 450,000 in profit. It will cost $100,000 to develop the bid and they will have a 35% chance of winning the contract. What is the expected net profit (project profit less bid development cost) associated with making the bid?
Bob, the proprietor of Midway Lumber, bases his projections for the annual revenues of the company on the performance of the housing market. He rates the performance of the market as very strong, strong, normal, weak, or very weak. For the next year, Bob estimates that the probabilities for these outcomes are 0.19, 0.27, 0.37, 0.07, and 0.10, respectively. He also thinks that the revenues corresponding to these outcomes are $20, $18.4, $16.8, $16, and $11 million, respectively. What is Bob's expected revenue for next year? (Round your answer to two decimal places.)
A man buys a racehorse for $25,000 and enters it in two races. He plans to sell the horse afterward, hoping to make a profit. If the horse wins both races, its value will jump to $105,000. If it wins one of the races, it will be worth $65,000. If it loses both races, it will be worth only $10,000. The man believes there is a 30% chance that the horse will win the first race and a 35% chance that it will win the second one. Assuming that the two races are independent events, find the man's expected profit.
A lawyer considers taking a case figures that there is a 40% chance of winning the case in court and earning his firm $400,000, a 50% chance of losing the case in court and costing his firm $150,000, and a 10% chance of settling out of court and bringing in $200,000. What is the expected payoff of the case for the firm?