Let Z be a random variable with the following probabilities.
Z-20-1001020
P(Z).10.20.40.20.10
(10)a. Calculate the expected value () and variance 2) of Z?
Mean, = Sum of {Z P(Z)}
= -20x0.10 + -10x0.20 + 0x0.40 + 10x0.20 + 20x0.10
= 0
Variance, 2 = Sum of {(Z - )2 x P(Z)}
= (-20 - 0)2x0.10 + (-10 - 0)2x0.20 + 0 + (10 - 0)2x0.20 + (20 - 0)2x0.10
= 120
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