Math- 338: Quiz 1 Solutions, Wednesday February 25,
2009
(1) Simulations with R: Suppose that we want to simulate 10 times rolling a fair die. We
can use this simple command:
> round(runif(10,0.5,6.5))
[1] 2 3 5 2 2 3 6 5 6 1
I got three 2s, two 6s, two 5s, two 3s, and one 1.
(1) Simulate 1,000,000 rolling of a fair die. Tally your findings. Provide tables of
summaries. Make a comment regarding the big picture behind your simulation
results.
> a=round(runif(1000000,.5,6.5))
> for(i in 1:6)
+
{
+ print(length(a[a==i]))
+ }
[1] 166297
[1] 167058
[1] 166778
[1] 166859
[1] 166672
[1] 166336
(2) Simulate 1000,000 tossing a fair coin. Comment on your findings.
> for(i in 1:2)
1
