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If s is the standard deviation of a project with expected returns R, the coefficient of variation is:
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- The value of the ideal standard deviation is (two decimal places, no zeroes anywhere)Find the standard deviation of a series of ACT scores listed below 16, 31, 19, 32,12 The standard deviation is?________________ (Type an integer or rounded to the nearest hundredth as needed)A large company in the communication and publishing industry has quantified the relationshipbetween the price of one of its products and the demand for this product as Price = 150 − 0.01× Demand for an annual printing of this particular product. The fixed costs per year (i.e., perprinting) = RM50,000 and the variable cost per unit= RM40. a) Analyze what is the maximum profit that can be achieved if the maximum expected demand is 6,000 units per year. b) Compute what is the unit price at this point of optimal demand.
- The cost C(Q) of producing a quantity Q of widgets to satisfy demand isC(Q) = 4000+20Q, but the quantity demanded is random. If the mean and standarddeviation of demand are 500 and 200, respectively, then what are the mean andstandard deviation of costs?A continuous random variable X is uniformly distributed over interval [2, 5]. What is the standard deviation of X? Answer Choices: a. 0.97 b. 0.87 c. 0.45 d. 0.65Assume that the random variable x is normally distributed with mean u = 70 and standard deviation o = 10. Find P(90 < x < 91) 0.9500 0.9951 0.0049 0.4500
- The following temperatures (in oF) were recorded inside the building of a remote pumping station: 99, 87, 93, 90, and 96. The variance of these readings is closest to: (a) 11.7 (b) 22.5 (c) 31.1 (d) 38.6Suppose that themean cost of domestic airfares in the United States is $399 per ticket, with a standard deviation of $119. If domestic airfares are normally distributed, what is the cost for the highest 5% of domestic airfares?(c) The price of a 14 oz cup of coffee in Sunshine cafés is a random variable C with an expected value of $3.00 and a standard deviation of $1. At any given shop, the price doesn't vary, but it varies independently across shops. Tomorrow morning, you plan to buy two 14 oz cups of coffee from the same shop while your friend plans on buying two from two different shops. (i) How much do you expect to spend on coffee tomorrow and with what standard deviation? (ii) How much do you expect your friend to spend and with what standard deviation? (iii) Who do you think has a better idea and why?
- An investor purchases a share of Synovous Bank stock this morning for $2.80. The investor believes the economy will take one of three conditions in the coming year, and each condition will have an impact on the selling price of the stock. The investor's beliefs about the economy are shown below: OUTCOME: Probability Bad for Banks Moderate for Banks Good for Banks 0.37 Submit 0.38 0.25 What is the standard deviation for Synovous returns (based on the investor's returns)? Synovous Price in One Year $2.60 $2.96 $3.46 Answer format: Percentage Round to: 2 decimal places (Example: 9.24%, % sign required. Will accept decimal format rounded to 4 decimal places (ex: 0.0924))A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?