Chapter 11, Problem 29E

To determine

To Calculate: the average number of succus every week on the basis of given information.

Explanation of Solution

There is required to find free groceries and, using the following measures, it can simulate:

Step 1

The selection of a single card with the price indicated is a part.

 Step 2

There is required to produce the random digits from pairs 00-99 for simulation. Let 01-10 be equal to $200. Let 11-20 be equivalent to $100. Let 21-40 be $50 and let 41-99 and 00 be $20, and it is important to disregard repeated pairs. 

 Step 3

The trial continues until the simulated cumulative prize reaches $500.

 Step 4

Until the pay-out is greater than $500, the answer variable is the number of simulated clients.

 Step 5

There is required to run the process of simulation with test numbers. By using random number generators, it produces random numbers using the following steps:

1) As per our needs, add random numbers.

2) Between 00 and 99, random digits are based on

3) Press the Submit button and pick.

Trial Number	Component Outcomes	Trial Outcomes
1	66, 02, 76, 47, 03, 41, 74, 74, 14	9
2	85, 34, 21, 46, 67, 49, 20, 41, 74, 74, 14	11
3	74, 96, 01, 23, 75, 93, 72, 15, 45, 13	10
4	23, 76, 01, 51, 90, 94, 87, 34, 93, 72, 15, 45, 13, 47, 71	15
5	95, 74, 75, 07, 40, 83, 52,	7
6	05, 00, 69, 05, 31, 23, 76, 01, 51, 90, 94, 87	12
7	79, 48, 81, 21, 12, 90, 28, 23, 76, 01, 51, 90, 94	13
8	98, 41, 34, 21, 79, 48, 81, 21, 12, 90, 28, 23, 76, 01	14
9	00, 12, 95, 27, 72, 85, 33	7
10	03, 51, 95, 21	8
Total		102

Step 6

The possibly average clients are: We need to find simulated

  $\begin{array}{c}\text{Free groceries customers = }\frac{\text{total number of digit of pairs generated}}{\text{total number of trails}}\\ =\frac{102}{10}\\ =10.2\end{array}$

The average customer number is 10.2

Step 7

Based on the simulation, we can infer that the average number of winners per week is 10.2 customers.