Communication Systems Probability and Random Variable Random Variables

For the random variable X with probability density function f(x) = \(\frac{(x-3)^2}{5}\) ; x = 3, 4, 5, the variance of X is:

1
\(\frac{2}{25}\)
2
\(\frac{2}{5}\)
3
\(\frac{4}{5}\)
4
\(\frac{4}{25}\)

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