Skip to content
Q5Section A (Section A)5 of 60

Interval probability from a two-piece density

Let XX be a continuous random variable with the probability density function

f(x)={0,x≤0, x3,0<x≤1, 3x5,x>1.f(x)=\begin{cases}0, & x\le0,\ x^3, & 0<x\le1,\ \dfrac3{x^5}, & x>1.\end{cases}

Then P(12<X<2)P\left(\frac12<X<2\right) equals

Options

Pick an option to check your answer.