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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