The following represents the probability distribution for the daily demand of microcomputers at a local store. Demand 0 1 2 Probability 0.20 0.20 0.25
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- 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%…r.edu/courses/97574/quizzes/357143/take ch results - yaz... Question 23 Consider the following probability distribution. xi 0 M Question Mode: M... 1 2 3 O 2.5 0.9 O 1.9 P(X = xi) O 1.5 0.1 The expected value is 0.2 0.4 0.3 Question 24 An analyst has constructed the following probability distribution for firm X's predicted return for upcoming year.Suppose X is a random variable with possible values -2,3 and 1 and with respective probabilities 0.22, 0.35, and 0.43 then the mean and standard deviation of X, respectively, are: of a. 1.04 and 1.838 O b. 1.04 and 1.876 O c. 0.667 and 1.876 d. 1.04 and 0.3733 O e. 0.667 and 0.3733
- 5. What is the variance of the probability distribution? A. 6.67 В. 4 C. 3.46 D. 2.5832. DETAILS Prompt 0/1 Submissions Used 2-D. What is the standard deviation (in whole minutes) for the above flight? O 6400 23 533 12 80 25 O 24 Submit Answer MY NOTES Quantas Airlines quotes a flight time of 20 hours, 15 minutes for its flight from New York (JFK), USA to Sydney (SYD), Australia. Suppose that the actual flight time is uniformly distributed between 19 hours 35 minutes and 20 hours 55 minutes. ASK YOUR TEACHERFor 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 gamble pays $450 with prob. p and pays $150 with prob. 1 - p, where p is the probability. If the expected value is 345, then p O 0.55 0.6 O 0.65 O 0.702. The annual commissions earned by sales representatives of Machine Products Inc., a manufacturer of light machinery, follow the normal probability distribution. The mean yearly amount earned is $40,000 and the standard deviation is $5,000. a. What percent of the sales representatives earn more than $42,000 per year? b. What percent of the sales representatives earn between $32,000 and $42,000? c. What percent of the sales representatives earn between $32,000 and $35,000?An investment plan allows investors to deposit a minimum of £1,000 at the beginning of the term, which pays a fixed return rate of 5% per annum. Af- ter a year, investors have to deposit a minimum of £800 with an expected return rate of 3% per annum for the second year and a standard deviation of 2% per annum. a. Find the expected value of the total minimum amount earned after two years of investment. b. Find the standard deviation of the total minimum amount earned after two years of investment.
- 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?A water company owns water pipes that burst often due to poor maintenance. The company can invest GHS m in the maintenance of the pipes. More maintenance means less water loss through bursts and fewer compensation payments to residents due to flooding of their properties. Assume that the value of lost water is 1/m so that more maintenance reduces the amount of loss. Assume that the value of damage to properties where the pipes are routed is 3/m , so that more maintenance decreases the amount of damage to properties. (i.) What is the socially optimal level of maintenance, m? What is the associated value of lost water and property damage? (Note: Minimize the total cost function) ( ii). What level of m is chosen when pipes that burst run through land owned by the government (the company pays nothing for damages even though there is still some damage associated with pipe bursts)? What is the new value for property damage? What is the deadweight loss?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 deviation of 1.5. Step 2 of 4: What is the probability that a country picked at random has income per capita > $2,000? Answer Keypad Keyboard Shortcuts 0.7327 O 2327 2673 0.7673 O O O
