Q 1.48. - Elementary Statistics

Question

Keno. In the game of keno, 20 balls are selected at random from 80 balls numbered 1-80. 

(a) Use Table I in Appendix A to simulate one game of keno by obtaining 20 random numbers between 1 and 80. Start at the two-digit number in line number 5 and column numbers 31-32, read down the column, up the next, and so on.

(b) If you have access to a random-number generator, use it to solve part (a).

Step-by-Step Solution

Answer

Part (a)  samples are: 39  03  28  58  59  09  36  52  24  78  23  68  73  17  62  14  77  42  20  51

Part (b)  samples after using MINITAB:

37  33  2  65  22  25  30  76  26  55  78  71  10  51  12  2  21  5  48  17

Part(a) Step 1. Given information.

The given statement is:

In keno, 20 balls are chosen at random from a pool of 80 balls numbered 1-80.

Part (a) Step 2. Obtain 20 random samples of two-digit number by using Table I in Appendix A.

20 balls are chosen at random from 80 balls numbered 1-80 in the game of keno, follow the below-given procedure:

1. To select a random sample of 20 balls from a total of 80 balls. First of all, each ball must be assigned a number from 1 to 80.
2. Then pick a number at random from the list.
3. If any number exceeds 80, we simply discard it and continue our pick from the table. 
4. The required sample can be calculated using the random number table as follows:
5. 39  03  28  58  59  09  36  52  24  78  23  68  73  17  62  14  77  42  20  51

Part (b) Use a random-number generator to solve part (a).

Given below is the result of samples produced by using MINITAB: