A pit boss is concerned that a pair of dice being used in

Chapter 5, Problem 1CT

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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

 

 

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

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