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

611372

26590

75157

57974

20862

66909

88860

00930

*table is correct

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

Explanation / Answer

Lets associate numbers for A, B and none
Consider numbers are associated with 1, 2, 3
numbers 4, 5, 6, 7 are for B and 0, 8 and 9 for none.

Total numbers = 38

Number of A = 8

Number of B = 16

Numbers 6 1 3 7 2 2 6 5 9 0 7 5 1 5 7 5 7 9 7 4 2 0 8 6 2 6 6 9 0 9 8 8 8 6 0 9 3 0 Grade B A A B A A B B None None B B A B B B B None B B A None None B A B B None None None None None None B None None A None

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