A continuous quantity XXX has probability density
f(x)=c x2for 0≤x≤3,f(x)=0 everywhere else.f(x) = c\,x^{2} \quad \text{for } 0 \le x \le 3, \qquad f(x) = 0 \text{ everywhere else.}f(x)=cx2for 0≤x≤3,f(x)=0 everywhere else.
The constant ccc is whatever it has to be for fff to be a valid density curve.
What is P(1≤X≤2)P(1 \le X \le 2)P(1≤X≤2)?
Select all that apply.
13\dfrac{1}{3}31
727\dfrac{7}{27}277
79\dfrac{7}{9}97
73\dfrac{7}{3}37