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A grocery store has only one checkout counter. Customers arrive at this checkout

ID: 3156279 • Letter: A

Question

A grocery store has only one checkout counter. Customers arrive at this checkout at random from 1 to 8 minutes apart each possible value of inter-arrival time has the same probability of occurrence as given below. Analyze the system by simulating the arrival of 20 customers using the random numbers 913, 727, 15, 948, 309, 922, 753, 235, 302,109, 93, 607, 738, 359, 888, 106, 212, 493 and 535. Also, calculate the average time between arrival

         

               Distribution of time between arrivals                         

                  Time Arrivals            Probability                          

                    (Minutes)                                                        

                            1                          0.125                               

                            2                          0.125                                  

                            3                          0.125                               

                            4                          0.125                               

                            5                          0.125                               

                            6                          0.125                                   

                            7                          0.125

                            8                          0.125

Explanation / Answer

Averagee=4.5

Time (x) P(x) x*p(x) 1 0.125 0.125 2 0.125 0.25 3 0.125 0.375 4 0.125 0.5 5 0.125 0.625 6 0.125 0.75 7 0.125 0.875 8 0.125 1 Sum= 4.5
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