A fast-food company is developing a computer simulation involving arrival time at a drive-through restaurant. The distribution for arrival times is:
Time -
Single-Digit Random -
Between Arrivals -
Probability -
Number Assigned -
1 minute
0.1
2 minutes
0.2
1, 2
3 minutes
0.3
3, 4, 5
4 minutes
0.4
6, 7, 8, 9
Six random numbers are selected to represent the arrival of six cars: 1, 6, 9, 0, 5, 6. The mean time between arrivals for these cars, in this run of the simulation model, is:
To calculate the mean time between arrivals for the cars, we first assign the correct time intervals to each random number based on the provided distribution: 1 minute for random numbers 0, 2 minutes for 1 and 2, 3 minutes for 3, 4, and 5, and 4 minutes for 6, 7, 8, and 9. Given the random numbers 1, 6, 9, 0, 5, and 6, the corresponding arrival times are 2 minutes, 4 minutes, 4 minutes, 1 minute, 3 minutes, and 4 minutes respectively. Summing these gives a total of 18 minutes. Dividing by the number of cars (6), the mean time between arrivals is 18/6, which equals 3 minutes.
Question should be formatted in a proper way, otherwise it is not clear
list the minutes for each given number: Random number = 1 6 9 0 5 6 = 6 items time given for each number = 2min + 4m+4m+1m+3m+4m = 18 min mean time = total time/ total # = 18/6 = 3min!
Number 0 is missing in the question. We can simply deduce that it is in column "1 minute" because of the sequence of numbers - 0123456789
why 3 minutes?
the requirement of the question is clear the mean (average of numbers) 1+6+0+5+6=18 Mean 18/6 = 3
Why is number 9 not included in your calculations?