Let X be a random variable with the following probability distribution: Value x of X P=Xx -20 0.25 -10 0.10 0 0.10 10 0.10 20 0.05 30 0.40 Find the expectation EX and variance VarX of X .
X | -20 | -10 | 0 | 10 | 20 | 30 |
P(X=x) | 0.25 | 0.10 | 0.10 | 0.10 | 0.05 | 0.40 |
= (-20)*(0.25)+(-10)*(0.10)+(0)*(0.10)+(10)*(0.10)+(20)*(0.05)+(30)*(0.40)
=8
= (-20-8)2(0.25)+(-10-8)2(0.10)+(0-8)2(0.10)+(10-8)2(0.10)+(20-8)2(0.05)+(30-8)2(0.40)
= 436
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