a) P(X < 1) = P(X = 0) + P(X = 1) = 0.1 + 0.2 = 0.3
b) P(X > 2) = P(X = 2) + P(X = 3) = 0.4 + 0.3 = 0.7
c) Mean = E(X) = 0 * 0.1 + 1 * 0.2 + 2 * 0.4 + 3 * 0.3 = 1.9
d) E(X2) = 02 * 0.1 + 12 * 0.2 + 22 * 0.4 + 32 * 0.3 = 4.5
Var(X) = E(X2) - (E(X))2 = 4.5 - 1.92 = 0.89
Standard deviation = sqrt(0.89) = 0.94
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