An insurance companys monthly claims are modeled by a continuous, positive random variable X, whose probability density

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An insurance company’s monthly claims are modeled by a continuous, positive random variable X, whose probability density function is proportional to (1 + x)-4, where 0 < x < ∞. Determine the company’s expected monthly claims. Choose one of the following.

(a) 1/6

(b) 1/3

(c) 1/2

(d) 1

(e) 3

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