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A pit boss is concerned that a pair of dice being used in
Chapter 5, Problem 1CT(choose chapter or problem)
Problem 1CT
A pit boss is concerned that a pair of dice being used in a craps game is not fair. The distribution of the expected sum of two fair dice is as follows:
Sum of Two Dice |
Probability |
Sum of Two Dice |
Probability |
2 |
8 |
||
3 |
9 |
||
4 |
10 |
||
5 |
11 |
||
6 |
12 |
||
7 |
|
|
The pit boss rolls the dice 400 times and records the sum of the dice. The table shows the results. Do you think the dice are fair? Use the a = 0.01 level of significance
Sum of Two Dice |
Frequency |
Sum of Two Dice |
Frequency |
2 |
16 |
8 |
59 |
3 |
23 |
9 |
45 |
4 |
31 |
10 |
34 |
5 |
41 |
11 |
19 |
6 |
62 |
12 |
11 |
7 |
59 |
|
|
Questions & Answers
QUESTION:
Problem 1CT
A pit boss is concerned that a pair of dice being used in a craps game is not fair. The distribution of the expected sum of two fair dice is as follows:
Sum of Two Dice |
Probability |
Sum of Two Dice |
Probability |
2 |
8 |
||
3 |
9 |
||
4 |
10 |
||
5 |
11 |
||
6 |
12 |
||
7 |
|
|
The pit boss rolls the dice 400 times and records the sum of the dice. The table shows the results. Do you think the dice are fair? Use the a = 0.01 level of significance
Sum of Two Dice |
Frequency |
Sum of Two Dice |
Frequency |
2 |
16 |
8 |
59 |
3 |
23 |
9 |
45 |
4 |
31 |
10 |
34 |
5 |
41 |
11 |
19 |
6 |
62 |
12 |
11 |
7 |
59 |
|
|
ANSWER:
Answer:
Step1:
We have A pit boss is concerned that a pair of dice being used in a craps game is not fair. The distribution of the expected sum of two fair dice is as follows:
Sum of Two Dice |
Probability |
2 |
0.03 |
3 |
0.06 |
4 |
0.08 |
5 |
0.11 |
6 |
0.14 |
7 |
0.17 |
8 |
0.14 |
9 |
0.11 |
10 |
0.08 |
11 |
0.06 |
12 |
0.03 |
The pit boss rolls the dice 400 times and records the sum of the dice. The table shows the results
Sum of Two Dice |
Probability |