Let X be a random variable with the following probability distribution. Value x of X P(X=x) 01 0.35 10 0.05 20 0.50 30 0.10 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. E (x) = 0 %3D (b) Find the variance Var(X) of X. Var(x) = 0 %3D Explanation Check

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A: The probability distribution of X is, X P(X) 20 0.35 30 0.1 40 0.25 50 0.3

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Q: (a) Find the expectation E (X) of X. E (x) = 0 %3D (b) Find the variance Var(X) of X.

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Q: (a) Find the expectation E (X) of X. E (x) = | %3D (b) Find the variance Var(X) of X.

A: The E(X) is defined as E(X) = ∑x.P(X = x) And variance of X is  V(X) = E(X2) - (E(X))2

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Q: (a) Find the expectation E (X) of X. E (x) = | %3D (b) Find the variance Var(X) of X. Var(X) = 0 %3D

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A: E(X)=∑X.P(X)E(X2)=∑X2.P(X)V(X)=E(X2)-(E(X))2

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