Question: The p.d.f. of a random variable X is f(x) = 2x for 0 x 1. Find the expectation of the continuous random variables

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