A continuous random variable $X$ has probability density function $f (x) = \frac{3}{8} x^{2}$ for $0 \leq x \leq 2$ , and $0$ elsewhere. Calculate the exact variance $Var (X)$ .

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The random variable $X$ has a binomial distribution $X \sim Bi (n = 10, p = 0.2)$ . The standard deviation of $X$ is:
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A continuous random variable X has… | Victorian VCE