Question

Use the following subset of a random digit table (50 digits).

21052 65031 45074 92846 67815 78231 01548 20235 56410 82713

Develop and document a Simulation to describe the scenarios proposed. Using
your Simulation method and the digit table values above, run your simulation and calculate your
Observed simulation statistic.

a) Flipping 2 coins and observing 2 heads.
b) Representing the % of left-handed people, claimed as 12%.

Answer 1

a).

Probability of getting 2 heads after flipping 2 coins is 0.5*0.5=0.25

So, we need random number consisting of 2 digits to perform our simulation. We assign the random numbers as follows.

Event	Probability	Cumulative probability	Random number interval
2 heads	0.25	0.25	00-24
Other than 2 heads	0.75	1.00	25-99

Our simulation table is as follows.

We notice 7 instances of 2 heads out of 50 instances.

So, simulated probability of observing 2 heads after flipping 2 coins is 7/50 = 0.14

b).

Probability of getting a left handed people is 0.12.

So, we need random number consisting of 2 digits to perform our simulation. We assign the random numbers as follows.

Event	Probability	Cumulative probability	Random number interval
Left handed	0.12	0.12	00-11
Right handed	0.88	1.00	12-99

Our simulation table is as follows.

We notice 5 instances of left handed people out of 50 instances.

So, simulated probability of left handed people is 5/50 = 0.1

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