Suppose 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?
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- 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?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?For 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
- A product has a mean demand of 50 with a standard deviation of 4. If the retailer wants to maintain a 90% customer service, how many units will they need to keep in stock?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?I am in possession of two coins. One is fair so that it lands heads (H) and tails (T)with equal probability while the other coin is weighted so that it always lands H. Bothcoins are magical: if either is flipped and lands H then a $1 bill appears in your wallet,but when it lands T nothing happens. You may only flip a coin once per period. Theinterest rate is i per period. You are risk-neutral and thus only concern yourself withexpected values (and not variance). For simplicity, in the questions below assumeyou will live forever.1. How much are you willing to pay for such a coin that you know is fair? 2. How much are you willing to pay for such a coin that you know is weighted? 3. I currently own the coins and know which is fair and which is weighted, but youcannot tell which is which. You may make an offer to purchase a coin of yourchoosing, which I am free to accept or reject. What is the most you are willingto offer? Explain how you arrived at this answer.
- 53. The annual demand for Prizdol, a prescription drugmanufactured and marketed by the NuFeel Company,is normally distributed with mean 50,000 and standarddeviation 12,000. Assume that demand during each ofthe next 10 years is an independent random numberfrom this distribution. NuFeel needs to determine howlarge a Prizdol plant to build to maximize its expectedprofit over the next 10 years. If the company builds aplant that can produce x units of Prizdol per year, it willcost $16 for each of these x units. NuFeel will produceonly the amount demanded each year, and each unit ofPrizdol produced will sell for $3.70. Each unit of Prizdol produced incurs a variable production cost of $0.20.It costs $0.40 per year to operate a unit of capacity.a. Among the capacity levels of 30,000, 35,000,40,000, 45,000, 50,000, 55,000, and 60,000 unitsper year, which level maximizes expected profit?Use simulation to answer this question.b. Using the capacity from your answer to part a,NuFeel can be 95%…The Kwik Klean car wash loses $250 on rainy days and gains $1200 on non rainy days. If the probability of rain is 0.13, what is the expected net profit?Times for a surgical procedure are normally distributed. There are two methods.Method A has a mean of 28 minutes and a standard deviation of 6 minutes, whilemethod B has a mean of 32 minutes and a standard deviation of 4 minutes. (a)Which procedure is preferred if the procedure must be completed within 28minutes? (b) Thirty-eight minutes? (c) Thirty-six minutes? Explain your reasoningfully.
- Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $4,256 per hour and a standard deviation of $242. Use Appendix B.3. What is the operating cost for the lowest 4% of the airplanes? (Round your z value to 2 decimal places and final answer to the nearest whole dollar Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure(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. 646GeoMart sells travelers notebooks. Annual demand for these notebooks follows a Normal distribution with an average of 2,100 units and a standard deviation of 850. GeoMart buys these notebooks from its manufacturer for $ 1.50 per notebook and sells them for $ 3. There is an order waiting period of 5 weeks, which elapses from when an order is placed to the manufacturer until it is delivered to GeoMart. The accounting department estimated that the process of placing an order costs $ 2 and recommends that it be apply a 22 percent annual interest to the material for reasons of ‘holding cost’. The cost of not complying with the demand is estimated at 40 cents per unit, in addition to the loss of income (‘profit loss’), both then represent the cost of “loss of good faith” or 'Loss-of-goodwill'. (Conversion: 7 days a week, 52 weeks in a year.) Under this scenario answer the following: a) Assume that you want to minimize costs and determine: the optimal order size, the reorder point, the…
