Question

4. (10 points) X are discrete random variables. The following table summarizes the probability mass function of X. X 024 P(x)
0 0
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Answer #1

The formula for E(X) = \sum XP(X)

V(X) = E(X2) - E2(X) =.  \sumX2P(X) - E2(X)

Now we construct the following table for calculation

X P(X) XP(X) X2P(X)
0 0.3 0 0
2 0.35 0.70 1.4
4 0.35 1.4 5.6
Total 2.1 7

Therefore by the formula we have

E(X) =\sumXP(X) = 2.1

V(X) = 7 - (2.1)2 = 7 - 4.41 = 2.59

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