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Question

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Explanation / Answer

b) P(X > 1) = 1 - P(X = 0) = 1 - 0.44 = 0.56

c) P(X > 2) = 1 - [P(X = 0) + P(X = 1)] = 1 - (0.44 + 0.36) = 0.2

d) E(X) = 0 * 0.44 + 1 * 0.36 + 2 * 0.13 + 3 * 0.06 + 4 * 0.01 = 0.84

e) E(X2) = 02 * 0.44 + 12 * 0.36 + 22 * 0.13 + 32 * 0.06 + 42 * 0.01 = 1.58

Var(X) = E(X2) - (E(X))2 = 1.58 - 0.842 = 0.8744

Standard deviation = sqrt(0.8744) = 0.9351

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