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Central Tendency

Finding E(Y) for a moment-generating function.

3.88 ===== Use your answer from 3.87 to show that E(Y) = aE(X) +b 3.87: [ If X is a random variable with moment-generating function M(t), and Y is a function of X given by Y=aX+b, show that the moment-generating function for Y is e^(tb) * M(at) ] My answer for exercise 3.87 is attached.

A weighted moving average having the early periods more heavily weighted

A weighted moving average having the early periods more heavily weighted A. is more responsive to recent demand changes. B. is less responsive to recent demand. C. places emphasis on the past demand data. D. is always the most effective weighting scheme. E. is not a time-series model. 2. Which of the following i

Plot this data, examine the plot.

A/Plot this data, examine the plot. Does this view of data suggest a particular smoothing model? Do the data appear to be seasonal? Explain. b/Use a smoothing method to forecast the four quarters of 2005. Plot the actual and forecast values. If you can use software ForcastX that will be good.

Expected Values, Negative Binomials and Maclaurin Series

Consider the experiment of observing a sequence of Bernoulli trials until exactly r successes occur. Let the r.v. X denote the number of trials needed to observe the rth success. The r.v. X is known as the negative binomial r.v. with parameter p, where p is the probability of a success at each trial. The pmf of the negative b

(a) calculate the mean (b) compare the mean and the median

3. Exercise 3 used ISSP date on the number of hours worked per week for a sample of 75 Japanese adults a. Calculate the mean for worked hours worked per week. b.Compare the value of the mean with those you have already calculated for the median. Without constructing a histogram, describe whether and how the

Finding Expected Value

Two different routes accommodate travel between two cities. Route A normally takes 60 minutes, and route B normally takes 45 minutes. If traffic problems are encountered on route A, the travel time in ...there is moreshow problemTwo different routes accommodate travel between two cities. Route A normally takes 60 minutes, and ro

Payoff Table and Calculations

The proprietor of the newly built White Mountain Ski and Swim Lodge has been considering purchasing or leasing several snowmobiles for the use of guests. The owner found that other financial obligations made it impossible to purchase the machines. Snowmobiles Incorporated (SI) will lease a machine for $20 a week, including any

Stats and forecasting

2. The U.S. Census Bureau publishes data on factory orders for all manufacturing, durable goods, and nondurable goods industries. Shown here are factory orders in the United States from 1987 through 1999 ($ billion). a. Use these data to develop forecasts for the years 1992 through 1999 using a 5-year moving average. b. Us

Forecasting - demand for a product

The following data summarizes the historical demand for a product. Month Actual demand March 20 April 25 May 40 June 35 July 30 August 45 Use a four period moving average and determine the forecasted demand for August. Put your answer in the form xx.x with no additional numbers or symbols.

Network Flow & Programming Problems

1. If we wich to select a location for a new manufacturing plant, the best approach would be to use A. Zero-one integer programming. B. Mixed-integer programming. C. A goal programming model. D. An assignment model. 2. The shortest-route technique might be used for

Yield curve

1) a. Suppose you are considering two possible investment opportunities, a 12-year Treasury bond and a 7-year, A-rated corporate bond. The current real risk-free rate is 4%. Inflation is expected to be 2% for the next two years, 3% for the following four years, and 4% thereafter. The maturity risk premium is estimated by this fo

Payback and Internal Rate of Return

The management of Kitchen Shop is thinking of buying a new drill press to aid in adapting parts for different machines. The press is expected to save Kitchen Shop $8,000 per year in costs. However, Kitchen Shop has an old punch machine that isn't worth anything on the market and that will probably last indefinitely. The new pres

EOQ/Moving Averages/Trend Projections

Please assist our study group by correctly answering the following study questions: 1. Sensitivity analysis of EOQ refers to: a. the attitude of top management toward the use of the EOQ model b. an assessment of the impact of obsolescence upon the EOQ c. analysis of how much the EOQ will change when other variable c


1. The annual demand for a product is 1,000 units. The company orders 200 units each time an order is placed. The lead-time is 6 days, and the company has determined that 20 unites should be held as a safety stock. There are 250 working days per year. What is the reorder point? a. 20 b. 24 c. 44 d. 120 2. Mark A

Case Problem: "Forecasting Food and Beverage Sales"

The Vintage Restaurant is on Captiva Island, a resort community near Fort Myers, FL. The restaurant, which is owned and operated by Karen Payne, has just completed its third year of operation. During that time, Karen has sought to establish a reputation for the restaurant as a high-quality dining establishment that specializes i

Expected value of perfect information

The local operations manager for the IRS must decide whether to hire 1, 2, or 3 temporary workers. He estimates that net revenues will vary with how well taxpayers comply with the new tax code. low medium high # of workers compliance compliance compliance 1 50 50 50 2 100 60 20 3 150 70 -10 If he thinks the chances o

Comparing different forecasting methods and choosing the best

Emily Andrews has invested in a science and technology mutual fund. Now she is considering liquidating and investing i another fund. She would like to forecast the price of the science and technology fund for the next month before making a decision. She has collected the following data on the average price of the fund during th

Determine the idle time costs for each alternative, and make a recommendation

1. You are asked to evaluate a manufacturing queuing problem. The higher priced mechanics always seem to be waiting on the lower priced tool crib clerks for necessary parts. The mechanics, at $20.00 per hour wage, arrive randomly at the tool crib every 5 minutes. It takes the tool crib clerk, at $10.00 per hour wage, an average

Net present values, investment requirements, discount rates.

1. You just won the lottery and want to put some money away for your child's college education. College will cost $65,000 in 18 years. You can earn 8% compounded annually. How much do you need to invest? Answer 2. You just won the lottery. You and your heirs will receive $25,000 per year forever, beginning one year from now.

Expected spot rate

One year interest rates are currently 3.30% in the U.S and 2.60% in "Euroland. The current spot rate between the euro and dollar is 1.3225/. What is the expected spot rate in one year if the international Fisher effect holds?

Determination of expected value of a random variable

Harrington Health Food stocks 5 loaves of Neutro-Bread. The probability distribution for the sales of Neutro-Bread is listed in the following table. How many loaves will Harrington sell on average? Number of Loaves Sold Probability 0