Suppose that a one-year project that requiresan initial investment of $5 million has a 65%chance of generating $12 million income, a5% chance of generating $7 million income, a10% chance of generating $3 million incomeand a 20% chance of generating nothing.Illustrate the cumulative probabilitydistribution for this project's gains and losses[Feel free to draw the distribution by handand paste a picture of it].

Let x be the amount that we win. The probability distribution of this project is given by,…

Answered: Suppose that a one-year project that…

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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Suppose a stock sells for $45 today. The annual volatility of the stock is 37%, and analysts predict the expected price of the stock in a year will be $50. What is the probability that in one year the stock will sell for more than $53? 28.4% 25.6% O 34.7% O 36.6%
Suppose that the life-time of a certain printer follows an exponential distribution with mean 2 years. The manufacture of this printer offers 100% refund if the printer fails during the first year and 50% if it fails during the second year and none afterward. a. Evaluate the probability of full refund. A. 0.05 B. 0.24 C. 0.39 D. 0.47 E. 0.52 b. Assume that each printer costs $100.00. Determine the expected refund for each sold printer. A. 46 B. 51 C. 54 D. 61 E. 66
A investment company has an asset A that will produce a cash flow of $5.500 with prob. 0.3 and $8,800 with prob. 0.7. They also own an asset B that pays $1,550 with prob. 0.5 and $3.500 with prob. 0.50. In this case, the probability that the company will earn a total payoff of $10,350 from their portfolio of assets is and the expected value of this portfolio is_ O a15: $10.335 O 0.15: $10885 O 035: $1088S O 035, $10.33s
An insurance company has written 50 policies for $125,000, 100 policies for $30,000, and 250 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0012, how much can the company expect to pay out during the year the policies were written?
Imagine a population evolving by genetic drift, in which the frequency of allele K is 0.6. What is the probability that at some point in the future allele K will drift to a frequency of 1.0? Express your answer as a number between 0 and 1.
During one year, a particular mutual fund outperformed the S&P 500 index 32 out of 52 weeks. Find the probability that it would perform as well or better again. The probability is (Round to four decimal places as needed.)
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…
A food truck near the University of Windsor specializes in healthy sandwiches. The sandwiches are prepared fresh each morning and any unsold sandwiches are donated to a food bank. Each sandwich costs $6 to make and sells for $10. The daily number of sandwiches sold, x, has the following distribution: (shown in image) a. Fill in the missing probability in the table above b. What is the expected daily profit? (hint: find the mean of x and multiply it by profit per sandwich) c. Find the mean, variance and standard deviation of the number of daily number of sandwiches sold. d. What is P(x  2| x < 4)?
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. • Let X = the number of years a student will study ballet with the teacher. • Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) x P(x) x*P(x) 1 0.10 2 0.10 3 0.20 4 5 0.20 6 0.20 7 0.05
An insurance policy on an electrical device pays a benefit of $2400 if the device fails during the first year. The amount of the benefit decreases by $800 each successive year until it reaches 0 . If the device has not failed by the beginning of any given year, the probability of failure during that year is 0.29.Find the expected benefit under this policy.

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