A company sells its products to wholesalers in batches of 10 units only. The daily demand for its product and the respective probabilities are given below. Demand (Units)Probability 10 20 30 40 0.2 0.2 0.3 0.2 0.1 Assume that the company sells its product at $3.75 per unit. What is the variance of the daily revenue? JOTE: Write your answer using 4 decimal digits. Do not round up or down,
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- Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?The weekly salary paid to employees of a small company that supplies part-time laborers averages s800 with a standard deviation of $500. (a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) If every employee receives a 5% salary increase for the next year, how does the normal model change? (d) If the lowest salary is $300 and the meltian salary is $550, does a normal model appear appropriate?using 'standard Normal Table ' , calculate the following probabilities. 1. Pr(z < -1.12) 2. Pr(z >2.32) 3.pr(1.22 < z >2.53) 4.pr(-3.22 < z < 0.22) 5.pr(-2.36 < z < -0.50)
- Question 2An investor is to purchase one of three types of real estate, as illustrated inFigure below. The investor must decide among an apartment building, anoffice building, and a warehouse. The future states of nature that willdetermine how much profit the investor will make are good economicconditions and poor economic conditions. The profits that will result fromeach decision in the event of each state of nature are shown in Table below: Assume that it is now possible to estimate a probability of 0.60 that goodeconomic conditions will exist and a probability of .40 that poor economicconditions will exist. a) Determine the best decision by using expected opportunity loss. b) Develop a decision tree, with expected values at the probability nodes. c) Compute the expected value of perfect information.The owner of Tastee Cookies needs to decide whether to lease a small, medium, or large new retail outlet. She estimates that monthly profits will vary with demand for her cookies as follows: SIZE OFOUTLET DEMAND LOW HIGH Small $ 1,000 1,000 Medium 500 2,500 Large 0 3,000 For what range of probability that demand will be high, will she decide to lease the medium facility?Exercise 15:- Each unit of a product produced and sold earns a profit of Rs. 50 and unsold units result into a loss of Rs. 30. The probability distribution is given below :Units Demanded : 0 1 2. 3.Probability : 0.2. 0.2. 0.25. 0.3Calculate EPPI and EVPI.
- The owner of a ski resort is considering installing a new ski lift that will cost $900,000. Expenses for operating andmaintaining the lift are estimated to be $1,500 per day when operating. The U.S. Weather Service estimates thatthere is a 60% probability of 80 days of skiing weather per year, a 30% probability of 100 days per year, and a 10% probability of 120 days per year. The operators of the resort estimate that during the first 80 days of adequate snow in a season, an average of 500 people will use the lift each day, at a fee of $10 each. If 20 additional days are available, the lift will be used by only 400 people per day during the extra period; and if 20 more days of skiing are available, only 300 people per day will use the lift during those days. The owners wish to recover any invested capital within five years and want at least a 25% per year rate of return before taxes. Based on a before-tax analysis, should the lift be installed?15 Demand for residential electricity at a certain time period in Hamilton County is normally distributed with a mean of μ = 5595 megawatts (MW) and a standard deviation of σ = 405 MW Due to scheduled maintenance and unexpected system failures in a generating station, the utility company can supply a maximum of x = 6200 MW The probability that the utility will have to purchase electricity from other utilities or allow brownouts is ______. 0.0974 0.0811 0.0676 0.0563P06_35.xlsx Shoe demand distribution Demand (100s of pairs) Probability 1 0.025 2 0.050 3 0.075 4 0.100 5 0.150 6 0.200 7 0.175 8 0.100 9 0.075 10 0.050 A buyer for a large department store chain must place orders with an athletic shoe manufacturer six months prior to the time the shoes will be sold in the department stores. The buyer must decide on November 1 how many pairs of the manufacturer’s newest model of tennis shoes to order for sale during the coming summer season. Assume that each pair of this new brand of tennis shoes costs the department store chain $65 per pair. Furthermore, assume that each pair of these shoes can then be sold to the chain’s customers for $90 per pair. Any pairs of these shoes remaining unsold at the end of the summer season will be sold in a closeout sale next fall for $20 each. The probability distribution of consumer demand for these tennis shoes during the coming…
- A project has a 60% chance of doubling your investment in one year and a 40% chance of losing half your money. What is the standard deviation of this investment? A. 25% B. 50% C. 62% D. 73%(Ch 7) A large number of MBA applicants are given an aptitude test. Scores are normally distributed with a mean of 460 and standard deviation of 80. Now, we can apply inverse normal to find the top 2.5 percent of the applicants score at least about ____. a. 606 b. 600 c. 617 d. 646For all parts of this question, assume that the log of GDP per capita is normally distributed with a mean of 8.7 and standard devistion of 1.5Step 1 of 4: If the log of the world distribution of income is normaly distributed with a mean of 8.7 and a standard deviation of 1.5, what income indollars) marks the 90th percentile? KeypadAnswer A 71.325B 1.29C 41,253D 10.63