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Determine interarrival times

Posted on July 28, 2021 by Abigail Stason

Problem 6.0) Assuming that you are the BOSS program, fill in the values in the table below. Determine the corresponding interarrival times depending on the following desired distributions:

            For Uniform Distribution:                      ARRIVE{ TIME = CUNIFORM(12,14)};

            For Normal Distribution:                       ARRIVE{ TIME = 0 MAX NORMAL(12,3)};

            For Exponential Distribution:                 ARRIVE{ TIME = EXPD(0.125)};

I.e. a continuous uniform distribution between 12 and 14, a normal distribution with a mean of 12 and a sigma of 3, and an exponential distribution with a mean of 0.125.

You will note that I have generated several random numbers and the corresponding answers for you to check by. I have also generated some random numbers for you to use, and several answers have also been filled in the table. If a random number is already shown, please use it. If there is no random number listed, generate one of your own. If the “answer” is shown, tell me the random number that “gave” me that answer.

Random

Number

 

Uniform

Distribution

Interarrival

Time

 

Random

Number

Normal

Distribution

Interarrival

Time

 

Random

Number

Exponential

Distribution

Interarrival

Time

0.254 12.508 0.409 11.310 0.013 0.001636
0.633 13.266 0.937 16.590 0.337 0.05137
0.500   0.500   0.500  
0.812   0.254   0.896  
0.211   0.607   0.254  
0.637   0.633   0.904  
  12.5   16.0   0.2
  13.0   18.0   0.4
  13.5   19.0   1.0
*   *   *  
*   *   *  
*   *   *  

  * Generate your own random numbers for these cells.

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