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What is the mean of f(x) = 3x + 2 where x is a random variable with probability distribution

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What is the mean of f(x) = 3x + 2 where x is a random variable with probability distribution

X = x 1 2 3 4
P(X = x) 1/6 1/3 1/3 1/6

(A)  19/2 

(B)   15/2 

(C)   5/2

(D)   5/3

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Correct option   (D) 5/3

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