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 expectation of the continuous random variables with the given p.d.f. Find the probability that the random variable has a value less than the expectation.
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