(Solution) - The p d f of a random variable X is f x -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Pages: 5 Words: 1375

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The p.d.f. of a random variable X is f(x) = 2x for 0 ? x ? l.
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?