Question

In: Statistics and Probability

let x be the random variable in rolling two dice denotes the absolute difference between die...

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

Solutions

Expert Solution

Outcome of rolling two dice is:

X : absolute difference between die faces  

Probability density function
X 0 1 2 3 4 5
P(X=x)         
cumulative distribution F(x)
X 0 1 2 3 4 5
F(X)               


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