Question

The daily demand for tuna sandwiches at an Ohio University cafeteria vending machine is either 8, 9, 10, or 11, with probabilities 0.3, 0.3, 0.1, and 0.3, respectively. Assume the following random numbers have been generated: 49, 21, 97, 45, 34, 69, 39, 92, 30, and 66. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probabilly distribution, the sandwich sales for the given random number are (round all responses to the nearest whole number): Random Number Sandwich Sales 49

Answer 1

Answer to the above question

The given problem has been solved using Monte carlo Simulation Technique
Step I
First of all random numbers 00-99 are allocated in proportion to the probabilities associated with the demand of Tuna Sandwiches
Demand	Probability	Cumulative Probability	Range of random numbers
8	0.30	0.30	00 - 30
9	0.30	0.60	31 - 60
10	0.10	0.70	61 - 70
11	0.30	100.00	71 - 00

Step 2
WN- II
Based on the given random numbers , we simulate the estimated sales
Day	Random Numbers	Demand
1	49	9
2	21	8
3	97	11
4	45	9
5	34	9
6	69	10
7	39	9
8	92	11
9	30	8
10	66	10
According to the above table for Random number simulation the sale for random number 49 will be 9 sandwitches