(Solved): Find the pmf, CDF, expectation and variance of X. ...

Expert Answer

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When you roll a fair six-sided die, the possible outcomes are {1, 2, 3, 4, 5, 6}. Since each outcome is equally likely, the probability mass function (pmf) of X, the number observed on the die, is:

P(X = 1) =   
P(X = 2) =   
P(X = 3) =   
P(X = 4) =   
P(X = 5) =   
P(X = 6) =   

The cumulative distribution function (CDF) of X is: