A coin has one face marked with 1 and the other face marked -1. The coin...

A coin has one face marked with 1 and the other face marked -1. The coin is tossed four times. Let X be the sum of four numbers and g(X)=X².

Determine the Probability Mass Function (PMF) of X and g(X).
Sketch PMF and CDF for X.
Sketch PMF and CDF for g(X).
Evaluate E(X) and Var(X).
Evaluate E(g(X)) and Var(g(X)).

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