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

Question

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

Quizplus · Accepted Answer

The Answer of 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

A Random Variable X Has a Cumulative Distribution Function F(x) 1x2\frac { 1 } { x ^ { 2 } }x21​

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