Compute the mean and variance of the following probability distribution. (Round

Question

Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.)
X P(X) 7 0.1    14 0.20 21 0.25 28 0.45    Mean Variance ReferenceseBook & Resources
Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.)
X P(X) 7 0.1    14 0.20 21 0.25 28 0.45    Mean Variance ReferenceseBook & Resources
Compute the mean and variance of the following probability distribution. (Round your answers to 2 decimal places.)
X P(X) 7 0.1    14 0.20 21 0.25 28 0.45    Mean Variance ReferenceseBook & Resources

Explanation / Answer

mean(E(X)) = 7 * 0.1 + 14 * 0.2 + 21 * 0.25 + 28 * 0.45 = 21.35

E(X^2) = 7^2 * 0.1 + 14^2 * 0.2 + 21^2 * 0.25 + 28^2 * 0.45 = 507.15

Variance = E(X^2) - (E(X))^2

               = 507.15 - (21.35)^2

               = 51.33

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