Exam 15: Introduction to Simulation Modeling

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It is usually not too difficult to predict the shape of the output distribution from the shape(s) of the input distribution(s).

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The built-in functions in Excel®, along with the RAND function, can be used to generate random numbers from many different types of probability distributions.

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It is simple to generate a uniformly distributed random number with a minimum and maximum other than 0 and 1. For example, the formula = 150+100 It is simple to generate a uniformly distributed random number with a minimum and maximum other than 0 and 1. For example, the formula = 150+100   RAND() generates a number uniformly distributed between: RAND() generates a number uniformly distributed between:

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Different random numbers generated by the computer are probabilistically dependent. This implies that when we generate a random number in a particular cell, it has some effect on the values of any other random numbers generated in the spreadsheet.

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Which of the following statements is/are true regarding the normal distribution?

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The binomial distribution is a discrete distribution that is applied to situations where n independent and identical "trials" occur, with each trial resulting in a "success" or "failure," and where we want to generate the random number of successes in the n trials.

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Analysts often plan a simulation so that the confidence interval for the mean of some important output will be sufficiently narrow. The reasoning is that narrow confidence intervals imply more precision about the estimated mean of the output variable.

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One important special case of bounded distributions is when the only possible values are:

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Suppose that the demand for cars is normally distributed with mean of 120 and standard deviation of 20. Use @RISK simulation add-in to determine the "best" order quantity; that is, the one that has the largest expected profit. Using the statistics and/or graphs from @RISK, discuss whether this order quantity would not be considered the "best" by the car dealer.

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Which of the following statements are false?

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When n is reasonably large and p isn't too close to 0 or 1, the binomial distribution can be well approximated by which of the following distributions?

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Simulation models are particularly useful for:

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Which of the following statements are false regarding the graph of a continuous probability distribution?

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When determining the most appropriate input probability distribution in a simulation model, first select the most appropriate family, and then select the most appropriate member of that family.

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Which of the following statements is/are true regarding the triangular distribution?

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Spreadsheet simulation modeling is quite similar to the other modeling applications in that it begins with input variables and then relates these with appropriate Excel® formulas to produce output variables of interest.

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Data tables in spreadsheet simulations are useful for taking a "prototype" simulation and replicating its key results a desired number of times.

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Which of the following statements are true?

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It is common in computer simulations to estimate the mean of some distribution by the average of the simulated observations. The usual practice is then to accompany this estimate with a confidence interval, which indicates the accuracy of the estimate.

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When we run simulation, the @RISK automatically keeps statistics such as averages and standard deviations, and can also create graphs such as histograms based on the values generated in the output cells in the simulation model.

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