2. The cumulative distribution function of X is: Fx(x) = 0 if x < -4 0.2 if – 4 < x < 0 0.3 if 0 < x < 4 0.7 if 4 < x <
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2. The cumulative distribution function of X is: Fx(x) = 0 if x < -4 0.2 if – 4 < x < 0 0.3 if 0 < x < 4 0.7 if 4 < x <
2. The cumulative distribution function of X is: Fx(x) = 0 if x < -4 0.2 if – 4 < x < 0 0.3 if 0 < x < 4 0.7 if 4 < x < 9 1 if x > 9 (a) Draw a sketch plot of Fx(x). (b) Find the probability mass function, fx(x), of X. (c) Draw a sketch plot of fx(x) (d) Find E[X] and Var(X). (e) Find the probability mass function, fz(z), of Z = X2. (f) Find E[Z] and Var(Z).
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