Let X be a random variable with the following probability distribution: -3 6 9 f(x) | 1/6 1/2 1/3 (a) Find Hgx), where g(X) = (3X + 2)² (b) Find the standard deviation of the random variable g(X) = (3X + 2)²

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Let X be a random variable with the following probability distribution:
-3
6
9
f(x) | 1/6 1/2 1/3
(a) Find µg(x), where g(X) = (3X + 2)²
(b) Find the standard deviation of the random variable g(X) = (3X + 2)²
Transcribed Image Text:Let X be a random variable with the following probability distribution: -3 6 9 f(x) | 1/6 1/2 1/3 (a) Find µg(x), where g(X) = (3X + 2)² (b) Find the standard deviation of the random variable g(X) = (3X + 2)²
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