Exam 14: Simulation

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Developing the cumulative probability distribution helps to determine random number ranges.

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Given the following random number ranges and the following random number sequence: 62, 13, 25, 40, 86, 93, determine the average demand for the following distribution of demand. Demand Random Number Ranges 5 00-14 6 15-44 7 45-69 8 70-84 9 85-99

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A table of random numbers must be

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If the probability of an event is 0.36, what random number range specifies this properly?

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The U.S. Department of Agriculture estimates that the yearly yield of limes per acre is distributed as follows: Yield, bushels per acre Probability 350 .10 400 .18 450 .50 500 .22 The estimated average price per bushel is $16.80. -Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation?

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In assigning random numbers to probabilistic events in a simulation,

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Pseudorandom numbers exhibit a ________ in order to be considered truly random.

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Starting conditions have no impact on the validity of a simulation model.

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In Excel the VLOOKUP function is used to determine values for continuous random variables.

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In the Monte Carlo process, values for a random variable are generated by ________ a probability distribution.

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Consider the following frequency of demand and random numbers: Relative Demand Frequency 0 0.15 1 0.30 2 0.25 3 0.15 4 0.15 Random numbers: 0.13, 0.81, 0.53. -If the simulation begins with the second random number, the simulated value for demand would be:

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After plowing through contracts for a decade, the contract writer knew about how long it took to crank out the material necessary to satisfy a contract's requirements. The distribution could be modeled using the data provided in this table. Number of Weeks Random Number Range 2 0-5 3 6-15 4 16-35 5 36-80 6 81-99 -If the first four random numbers are 17, 33, 64, and 8, what is the average number of weeks?

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In the Monte Carlo process, values for a random variable are generated by sampling from a probability distribution.

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________ simulation is limited because of the amount of real time required to simulate even one trial.

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A business professor wishes to model the duration of his commute through the busy streets of Bangalore. He decides to model it based on the number of auto-rickshaws that he passes during the first ten minutes of the drive. The continuous probability distribution 7x - 2 serves as a good model. -What is the integral from 0 to 4 for this distribution?

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Validation of a simulation model occurs when the true steady state average results have been reached.

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A bakery is considering hiring another clerk to better serve customers. To help with this decision, records were kept to determine how many customers arrived in 10-minute intervals. Based on 100 10-minute intervals, the following probability distribution and random number assignments developed. Number of Arrivals Probability Random numbers 6 .1 .01-.10 7 .3 .11-.40 8 .3 .41-.70 9 .2 .71-.90 10 .1 .91-.00 -Suppose the next three random numbers were .18, .89 and .67. How many customers would have arrived during this 30-minute period?

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Simulations are normally done

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A normal distribution has a mean of 500 and a standard deviation of 50. A manager wants to simulate two values from this distribution and has drawn these random numbers: -0.6 and 1.4. What are the two values, respectively?

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Consider the following distribution and random numbers: Demand Frequency Random Numbers: :62\nobreakspace13\nobreakspace25\nobreakspace40 0 0.15 1 0.30 2 0.25 3 0.15 4 0.15 If a simulation begins with the first random number, what would the first simulation value would be ________.

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