In: Statistics and Probability
let x be the random variable in rolling two dice denotes the absolute difference between die faces .
(i) find the probability distribution f(x) and cumulative distribution F(x) .
ii) plot f(x) and F(x)
iii) find the mean and variance of x and of g(x) = 3x + 7
Outcome of rolling two dice is:
X : absolute difference between die faces
X | 0 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|---|
P(X=x) |
X | 0 | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|---|
F(X) |