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

question 56

Multiple Choice

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

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

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