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A Random Variable X Has a Cumulative Distribution Function F(x) 1x2\frac { 1 } { x ^ { 2 } }

Question 56

Multiple Choice

A random variable X has a cumulative distribution function F(x) = 1 - 1x2\frac { 1 } { x ^ { 2 } } (x≥1) . Find Pr(a ≤ X ≤ 5) .


A) 1 - 1a2\frac { 1 } { a ^ { 2 } }
B) 2425\frac { 24 } { 25 } - 1a2\frac { 1 } { a ^ { 2 } }
C) 1a2\frac { 1 } { a ^ { 2 } } - 125\frac { 1 } { 25 }
D) 1a2\frac { 1 } { a ^ { 2 } }
E) none of these

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