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- Prospect Z = ($1, 0.30 ; $18, 0.40 ; $25, 0.30) What is the standard deviation of prospect Z? (Note: The answer may not be a whole number; please round to the nearest hundredth) (Note: The numbers may change between questions, so read carefully)The value of the ideal standard deviation is (two decimal places, no zeroes anywhere)Use the body temperatures, in degrees Fahrenheit, listed in the accompanying table. The range of the data is 3.3°F. Use the range rule of thumb to estimate the value of the standard deviation. Compare the result to the actual standard deviation of the data rounded to two decimal places, 0.69°F, assuming the goal is to approximate the standard deviation within 0.2°F. The estimated standard deviation is °F. (Round to two decimal places as needed.) Compare the result to the actual standard deviation. The estimated standard deviation is C the actual standard deviation. Thus, the estimated standard deviation Data table the goal. 99 98.2 97.5 98.4 99.2 98 98.7 98.5 98.1 98.1 98.5 99.3 98.7 96.7 96.5 98.7 98 97.3 98.4 98 97.7 98.3 98.9 97.1 99 97.1 98.7 98.6 99.4 97.6 97.6 97.7 97.9 99.4 98.7 99.6 97.8 97.9 99 98.3 97.7 98.7 98.2 98.7 97.6 98 97.7 98.6 98.5 98.3 97.7 99 96.3 98 98.2 96.8 97.3 97.3 97.5 98.5 97.6 97.7 97.2 97.7 98 98.8 99 98.5 98 97.8 97 97.3 99.1 98.7 98.6 98.3 98.4 99 98…
- 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))Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #Question: The average hourly wage of a sample of 150 workers in a plant 'A' was Dollar 2.56 with a standard deviation of Dollar 1-08. The average hourly wage of a sample of 200 workers in plant 'B' was Dollar 2.87 with a standard deviation of Dollar 1.28. Can an applicant safely assume that the hourly wages paid by plant 'B' are higher than those paid by plant 'A'?
- Suppose the profit a Honda dealership makes on the next 5 Accords it sells are:504, 1,027, 867, 1,434, 1,372. Calculate the standard deviation of the sample. (please express your answer using 2 decimal places).If the economy booms, Meyer&Co. stock will have a return of 20.8 percent. If the economy goes into a recession, the stock will have a loss of 13.1 percent. The probability of a boom is 63 percent while the probability of a recession is 37 percent. What is the standard deviation of the returns on the stock? 9.29% 12.43% 13.56% 14.61% 14.61%Economics Consider a supplier that manufactures a product at $2 per unit and sells them to retailers at $7 per unit. The retailer sells each product to the end consumer at $10. At this retail price, market demand is normally distributed, with a mean of 1,000 and a standard deviation of 300. The supplier agrees to buy back unsold products for $b even though any leftover product at the end of sale period are worthless. a) What is the retailer's order quantity under local optimization when b=0? b) What is the optimal order quantity under global optimization? Round up to the nearest integer. Derive the optimal value of b. c) With the optimized value of b in the buyback clause, how many discs should an independent retailer order? Round up your solution to the nearest integer. d) What is the expected overstocking given the optimized value of $b? What is the expected understocking given the optimized value of $b? What is retailers' expected profit? What is the manufacturer's expected profit?
- A major credit card company has determined that the amount its customers charge on their accounts is normally distributed with an average of R2800 per month and a standard deviation of R200.What proportion of customers charge more than R2750 per month on their account (rounded off to three decimals)?For this question, you must use the empirical rule to find the answers, rather than the more exact answers using Excel. The average monthly charges of water utility bill in Portland, OR is $52.10. Let's assume the water utility bills are normally distributed with a standard deviation of $16.80. (a) What percentage of water utility bills will be less than $35.30? % (b) What percentage of water utility bills will be more than $ 52.10? % (c) What percentage of water utility bills will cost between $35.30 and $68.90? % (d) What percentage of water utility bills will cost between $52.10 and $102.5 % (e) What is the minimum bill to be the most expensive 2.5% of all water utility bills? $30 A large number of students took a departmental math test 6.5% of students scored 88 or more from the scale of 100. The scores have a bell-shaped distribution with a standard deviation of 8.2 If the minimum score to pass the test is 62 what fraction of the students failed the test? a 0.0488 b 0.0542 c 0.0602 d 0.0719