A particular class has 10 students. Suppose that the probability of getting an 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?

Explanation / Answer

a) if a digit is 0 ,1,2 - then grade A

if a digit is 3,4,5,6 - grade B

b)   61372 26590 75157

Total Run 1    Run 2 Run 3

0-2 5 2 2 1

3-6 6 2 2 2

7-9 4 1 1 2

c) run 1 - A - 2 B - 2

run 2 - A - 2 B - 2

run 3 A - 1 B- 2

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