A particular class has 10 students. Suppose that the probability of getting an A
ID: 3227160 • Letter: A
Question
A particular class has 10 students. Suppose that the probability of getting an A in this class is 30% (or rather 3 out of 10) and the probability of getting a B is 40% (or rather 4 out of 10). We want to run a simulation to see how likely this is to occur by chance.
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 20862 66909 88860 00930
Part c: 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?
Line
113
611372
26590
75157
57974
20862
66909
88860
00930
Line
113
611372
26590
75157
57974
20862
66909
88860
00930
Explanation / Answer
Part (a)
Step 1: Choose a single digit from the given RN string.
Step 2: If the digit in Step 1 is 1, 2 or 3, assign Grade A to Student 1, if 4, 5, 6, 7 Grade B and if 8, 9 or 0 a dummy Grade. Say C which is neither A nor B.
Step 3: Repeat Steps 1 and 2, till all the 10 students are assigned the grades.
Part (b)
Actual simulation [codes: SN – student number; RN – random number; G - Grade]
611372
26590
75157
57974
20862
66909
88860
00930
SN
Run 1
Run 2
Run 3
Remarks
RN
G
RN
G
RN
G
1
6
B
5
B
6
B
2
1
A
1
A
2
A
3
1
A
5
B
6
B
4
3
A
7
B
6
B
5
7
B
5
B
9
C
6
2
A
7
B
0
C
7
2
A
9
C
9
C
8
6
B
7
B
8
C
9
5
B
4
B
8
C
10
9
C
2
A
8
C
11
0
C
0
C
6
B
12
7
B
8
C
0
C
Part (c)
Run
As
Bs
1
5
5
2
2
7
3
1
4
Total
8
16
%
25
50
611372
26590
75157
57974
20862
66909
88860
00930
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