The p.d.f. of a random variable T is g(t) = 6t(1 - t) for 0 t

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The p.d.f. of a random variable T is g(t) = 6t(1 - t) for 0 ≤ t ≤ 1.
Find the variance and standard deviation of a continuous random variable with the given p.d.f.
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