A skilled custom auto mechanic finds an old beat up Chevy Camaro in a junk yard, and pays$300 for it. She spends $19, 000 fixing and customizing the vehicle, knowing that there is a0.7 probability that she can sell the customized car for $30, 000 and a 0.3 probability thatshe can sell the car for $40, 000. What is the expected profit from her total investment in thecar? (Select the most accurate option from below).

Answered: Image /qna-images/answer/3f70c905-2617-48df-bf11-f855e3f4ff6b.jpg

Answered: A skilled custom auto mechanic finds an…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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An investment counselor calls with a hot stock tip. He believes that if the economy remains strong, the investment will result in a profit of $40,000. If the economy grows at a moderate pace, the investment will result in a profit of $10,000. However, if the economy goes into recession, the investment will result in a loss of $40,000. You contact an economist who believes there is a 20% probability the economy will remain strong, a 70% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. What is the expected profit from this investment?
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2374 raffle tickets at $5 per ticket. Kevin bought thirty-four tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)What is the probability that Kevin will not win the cruise? (Round your answer to five decimal places.) Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? (Round your answer to two decimal places.)$ Is this more or less than the amount Kevin paid for the thirty-four tickets? How much did Kevin effectively contribute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)$
The proprietor of Midland Construction Company has to decide between two projects. He estimates that the first project will yield a profit of $180,000 with a probability of 0.7 or a profit of $130,000 with a probability of 0.3; the second project will yield a profit of $220,000 with a probability of 0.7 or a profit of $80,000 with a probability of 0.3.Find the expected profit for each project. first project $ second project $
Oxnard petri Ltd is buying hurricane insurance for it's off-coast drilling platform. During the next five years, the probability of total loss of only the above-water superstructure ($250 million) is .25, the probability of total loss of the facility ($950 million) is.25, and the probability of no loss is.50. Find the expected loss.( Input the amount as a positive value.) Expected Loss is what?
A investor estimates that, in a year’s time, a certain stock has a 30% chance to be worth $125 per share, a 45% chance to be worth $90 per share, and a 25% chance to be worth$60 per share. Determine the expectation of the price per share of the stock in a year’s time.
The probability that Ms. Brown will sell a piece ofproperty at a profit of $3,000 is 3 20 , the probability that she will sell it at a profit of $1,500 is 7 20 , the probability that she will break even is 7 20 , and the probability that she will lose $1,500 is 3 20 . What is her expected profit?
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, 0.25, 0.39, 0.09, and 0.12, respectively. He also thinks that the revenues corresponding to these outcomes are $23, $18.6, $16.9, $14, and $6 million, respectively. What is Bob's expected revenue for next year?
The proprietor of Midland Construction Company has to decide between two projects. He estimates that the first project will yield a profit of $160,000 with a probability of 0.7 or a profit of $120,000 with a probability of 0.3; the second project will yield a profit of $220,000 with a probability of 0.6 or a profit of $70,000 with a probability of 0.4.Find the expected profit for each project. first project $ second project $ Which project should the proprietor choose if he wants to maximize his expected profit? first project second project
Suppose an oil company is thinking of buying some land for $10,000,000. There is a 60%60% chance of economic growth and a 40%40% chance of recession. The probability of discovering oil is 44%44% when there is economic growth and 32%32% when there is a recession. If there is economic growth and the oil company discovers oil, the value of the land will triple. If they do not discover oil, the value of the land will decrease by 10%.10%. If there is a recession and the company discovers oil, the value of the land will increase by 50%.50%. If they do not discover oil, the land will decrease in value by 75%.75%. What is the expected value of the investment? Give your answer to the nearest dollar. Avoid rounding within calculations. $$ Select the correct interpretation of the expected value. The expected value represents what the actual investment value will be for this land purchase of $10,000,000. The company should make the investment because the expected value…
Two new product designs are to be compared on the basis of revenue potential. Marketing feels that the revenue from design A can be predicted quite accurately to be $3 million. The revenue potential of design B is more difficult to access. Marketing concludes that there is a probability of 0.3 that the revenue from design B will be $7 million, but there is a 0.7 probability that the revenue will be only $2 million. Which design do you prefer?
Vivian is deciding whether or not to prepare a tender for a job. The cost of producing the tender will be $1600, which will apply even if her company does not win the tender. Vivian has done some quick calculations and currently thinks that there is a 0.57 probability that the cost is $7000, and otherwise the cost is $10400. These costs do not include the cost of producing the tender. She also believes that the probability that the lowest bid submitted by any competing company will be $8800 is 0.35, that the probability that the lowest bid submitted by any competing company will be $16400 is 0.32, and otherwise that the lowest bid submitted by any competing company will be $12400 Vivian is considering whether she should bid $10800, bid $14400, or not bid. You may assume independence between the probabilities that Vivian assigns to her estimated costs of the project and the probabilities of her assumed lowest bids of competing companies. Thus if She submits a price of $14400 then the…
A realtor who takes the listing on a house to be sold knows that she will spend $800 trying to sell the house. If she sells it herself, she will earn 6% of the selling price. If another realtor sells a house from her list, the first realtor will earn only 3% of the price. If the house remains unsold after 6 months, she will lose the listing. Suppose that probabilities are as follows: Event Probability Sells the house alone 0.50 Sells through another agent 0.40 Does not sell in 6 months 0.10 What is the expected profit from listing a $185,000 house?

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