Question: The p.d.f. of a random variable T is g(t) = 6t(1 - t) for 0 t 1 Find the probability that the random

The p.d.f. of a random variable T is g(t) = 6t(1 - t) for 0 ≤ t ≤ 1
Find the probability that the random variable has a value less than one standard deviation below the expectation and less than two standard deviations below the expectation. How do the results compare with the rules of thumb for a bell-shaped distribution?

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