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A Random Variable X Has a Cumulative Distribution Function F(x) 1(x+1)2\frac { 1 } { ( x + 1 ) ^ { 2 } }

Question 92

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A random variable X has a cumulative distribution function F(x) = 1 - 1(x+1)2\frac { 1 } { ( x + 1 ) ^ { 2 } } for x0x \geq 0 . Find Pr(1X4)\operatorname { Pr } ( 1 \leq X \leq 4 ) .
Enter just a reduced fraction.

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