Chapter 11, Problem 28E

To determine

To find: In order to get three units of type O blood, the number of potential donors is required to be checked.

Explanation of Solution

There is required to locate blood donors, and can use the following steps to simulate them:

Step 1

One blood donor is the component.

Step 2

It is required to produce the random digits from pairs 00-99 for simulation. Let 01-44 represents the kind of donor of O and 45-99 and 00 represents who is not a donor of kind O.

 Step 3

The answer variable is the number of digit pairs produced by up to 3 simulated donor forms. 

Step 4

When three kinds of O donor have been simulated, the trials are over.

Step 5

It is required to run the process of simulation with test numbers. By using random number generators, we produce 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 submission button.

Trial Number	Component Outcomes	Trial Outcomes
1	66, 02, 76, 47, 03	5
2	85, 34, 21, 46, 67, 49, 20	7
3	74, 96, 01, 23, 75, 93, 72, 15	8
4	23, 76, 01, 51, 90, 94, 87, 34	8
5	95, 74, 75, 07, 40, 83, 52, 52, 02	9
6	05, 00, 69, 05, 31	5
7	79, 48, 81, 21, 12, 90, 28	7
8	98, 41, 34, 21	4
9	00, 12, 95, 27, 72, 85, 33	7
10	03, 51, 95, 21, 95, 51, 87, 30	8
Total		68

Step 6

The possible number of blood donors must be considered to be simulated:

  $\begin{array}{c}Blooddonors=\frac{totoalnumberofpairsgenerated}{totalnumberoftrials}\\ =\frac{68}{10}\\ =6.8\end{array}$

There are 6.8 blood donors.

Step 7

It can infer on the basis of the simulation that there are 6.8 blood donors needed to be fairly assured of receiving 3 forms of O donors.