Question

The daily demand for tuna sandwiches at an Ohio University cafeteria vending machine is either 7,8,9, or 10, with probabilities 0.4, 0.2, 0.2, and 0.2, respectively. Assume the following random numbers have been generated: 98, 58, 33, 80, 8, 70, 56, 56, 65, and 31. (Note: Assume the random number interval begins at 01 and ends at 00.) Based on the given probabilty distribution, the sandwich sales for the given random number are (round all responses to the nearest whole number) Random Number Sandwich Sales 98 58 80 70 56 56 65 31 Enter your answer in each of the answer boxes.

Answer 1

Demand for tuna sandwiches with probability

Step 1: Calculate the cumulative frequency

Step 2: Assign the interval for random variables

Demand	Probability	Cumulative frequency	Random number
7	0.4	0.4	01-40
8	0.2	0.6	41-60
9	0.2	0.8	61-80
10	0.2	1.0	80-100

Step 3: Sandwich sales represents demand

Find the random number interval to which the random number falls to and corresponding demand value represent the sandwich sales.

Random numbers	Sandwich sales
98	10
58	8
33	7
80	10
8	7
70	9
56	8
56	8
65	9
31	7