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Please show work/explain A particular class has 10 students. Suppose that the pr

ID: 3338147 • Letter: P

Question


Please show work/explain A particular class has 10 students. Suppose that the probability of getting an A in this c 2 out of 10) and the probability of getting a B is 3 see how likely this is to occur by chance. lass s 20% (or rather 0% (or rather 3 out of 10). We want to run a simulation to Part a: Using single digits from a section of the random di simulation. igit table, describe how you will run the Part b: Using line 113 from the random digit table (given below), carry out the simulation with 3 runs Line 113 61372 26590 75157 57974 20862 66909 88860 00930 rt e: Based on your simulation, how many of students got an A for each run? How many of the students in the simulation got a B?

Explanation / Answer

Part (a)

Simulation Process

Starting from the first digit, ‘6’ in line 113, pick 3 sets of 10 consecutive single-digits serially.

Each digit represents a student in the set. If the digit is 1 or 2, allot grade A to the student, if it is 3, 4 or 5, allot grade B to the student, and if the digit is 6, 7, 8, 9, or 0 allot grade C, say. to the student where C is other than A and B. ANSWER

Part (b)

Actual Simulation

Run 1

Run 2

Run 3

Student

Number

Digit

Picked

Grade

Allotted

Student

Number

Digit

Picked

Grade

Allotted

Student

Number

Digit

Picked

Grade

Allotted

1

6

C

1

7

C

1

2

A

2

1

A

2

5

B

2

0

C

3

3

B

3

1

A

3

8

C

4

7

C

4

5

B

4

6

C

5

2

A

5

7

C

5

2

A

6

2

A

6

5

B

6

6

C

7

6

C

7

7

C

7

6

C

8

5

B

8

9

C

8

9

C

9

9

C

9

7

C

9

0

C

10

0

C

10

4

B

10

9

C

Summary

Number of A’s = 6;   Number of B’s = 6; Number of C’s = 18 ANSWER

Part (c)

Run #

No of A’s

No of B’s

1

3

2

2

1

4

3

2

0

Total

6

6

DONE

Run 1

Run 2

Run 3

Student

Number

Digit

Picked

Grade

Allotted

Student

Number

Digit

Picked

Grade

Allotted

Student

Number

Digit

Picked

Grade

Allotted

1

6

C

1

7

C

1

2

A

2

1

A

2

5

B

2

0

C

3

3

B

3

1

A

3

8

C

4

7

C

4

5

B

4

6

C

5

2

A

5

7

C

5

2

A

6

2

A

6

5

B

6

6

C

7

6

C

7

7

C

7

6

C

8

5

B

8

9

C

8

9

C

9

9

C

9

7

C

9

0

C

10

0

C

10

4

B

10

9

C