Question: The p.d.f. of a random variable X is f(x) = 1 - x/2 for 0 x 2. Find the probability that the random

The p.d.f. of a random variable X is f(x) = 1 - x/2 for 0 ≤ x ≤ 2.
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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