# Insured-Assured-Be Sure

Discrete Mathematics Level pending

An insurance company insures a large number of homes. The insured value, $$X$$, in ten thousands, of a randomly selected insured home, is assumed to follow a distribution with probability density function $f(x) = 3x^{-4}, \text{ } \text{ } \text{ } x \geq 1.$ Calculate the probability that a randomly selected insured home is insured for at most $$20 000$$.

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