Find your question
and Get expert's answers*
Homework Help
*Click here to submit
Refer a Friend
Discount up to 15%*
Prepared References
Save up to 50%*
Homework Help >> Basic Statistics
  Calculating customer inter-arrival time  

Problem 1

During dinner hour, distribution of inter-arrival time of customers at Burger Barn is computed as follows:

Inter-arrival Time      Probability

30 seconds                 .45
60 seconds                 .25
90 seconds                 .15
120 seconds                .10
150 seconds                .05

Sixty percent of customers pay with cash, while 40% pay with credit cards.

Payment Method        Probability

Cash                             .60
Credit                            .40

Service time of the cash and credit card customers are estimated to be as follows:

             Cash                                          Credit Card

Service Time     Probability         Service Time        Probability

20 seconds           .35               30 seconds               .20
40 seconds           .30               60 seconds               .45
60 seconds           .25               90 seconds               .25
80 seconds           .10             120 seconds               .10

Simulate this system for 20 customer arrivals and find out the average time a cash and credit card customer should wait in line before paying cashier. Use random numbers in table below to find out the customer inter-arrival time, whether customer pays with cash or credit, the service time.

You would be working with three probabilistic variables, inter-arrival time, payment method and the service time. Also utilze excel template attached when solving this problem.

Random Numbers         

Inter-arrival Time              Payment Method               Service Time

63                                          10                                  19
46                                          73                                  79
86                                          28                                  35               
0                                             51                                63     
56                                           91                                 54    
67                                          14                                  51             
59                                          64                                  93
 28                                         24                                  69
79                                           70                                 14
64                                           84                                 35
33                                           73                                  1
81                                           17                                  9
17                                           48                                  70
63                                           11                                  50
66                                           88                                  40
27                                            94                                 41
4                                              29                                 71
34                                            83                                 68
7                                               71                                 50
69                                             27                                 82

Ask an Expert for Solution

Ask an Expert for Answer Calculating customer inter-arrival time

Request for Solution Files

Expected delivery within 24 Hours

Course: Basic Statistics

Ref. No:- TGS01841




Like US:-
Assignment Help

Ask an Expert & Get Answer

  • Quality work delivery
  • 100% Plagiarism free
  • Time on delivery
  • Privacy of work
Order Now
More Basic Statistics Questions


Statistics, A researcher is interested to learn if there is a linear relationship between the hours in a week spent exercising and a person’s life sat
Homework, The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distrubted btween 0 and 6 minutes. Find t
Progect 2, This is a project assignment that must be submitted next Saturday. It's okay if it plagiarism. It's more important to show my work. I hav
Statistics, The following is the heart rate for 10 randomly selected patients on the unit. Find the mean, variance, and standard deviation of the data
Statistics, The following is the heart rate for 10 randomly selected patients on the unit. Find the mean, variance, and standard deviation of the data
Statistics, The following is the heart rate for 10 randomly selected patients on the unit. Find the mean, variance, and standard deviation of the data