Use a random number generator to simulate the roll of a fair die 100 times. Let the number face up on the die represent the variable X
A. Build a relative frequency table of the outcomes of the variable X.
X
Freq
Rel. Freq
B. Use the relative frequency distribution from part c to estimate the probability of an even number face up, then find the actual probability using the probability distribution and comment on the difference in values.
throws <- sample(1:6, 100, replace=TRUE, prob=c(1,1,1,1,1,1)/6 )
table(throws)
throws
1 2 3 4 5 6
13 21 14 19 15 18
x | f | rel.freq. |
1 | 13 | 0.13 |
2 | 21 | 0.21 |
3 | 14 | 0.14 |
4 | 19 | 0.19 |
5 | 15 | 0.15 |
6 | 18 | 0.18 |
probability of even number using relative frequency distribution = 0.21+0.19+0.18=0.58
actual probability = 0.5
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