A particular class has 10 students. Suppose that the probability ofgetting an A
ID: 3368172 • Letter: A
Question
A particular class has 10 students. Suppose that the probability ofgetting an A n this class is 20% (or rather 2 out of 10) and the probability of getting a Bis 30% ( this is to occur by chance. or rather 3 out of 10). We want to run a simulation to see how likely Part a: Using single digits from a section of the random digit table, describe how you will run the simulation. 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 2086266909 88860 00930 Part 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
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