A random variable X has a cumulative distribution function F

A random variable X has a cumulative distribution function F(x)=1-(1/(x+1)^2) for x (> or = to) 0. Find Pr(1(<or=to)x(< or = to)4). Write as a reduced fraction.

Solution

p(1 <= x <= 4) =

F(4) - F(1) =

1 - 1/52 - (1 - 1/22) =

1/4 - 1/25 =

21/100 =

0.21

A random variable X has a cumulative distribution function F(x)=1-(1/(x+1)^2) for x (> or = to) 0. Find Pr(1(<or=to)x(< or = to)4). Write as a reduced

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