Suppose that a random variable Y has a probability density function given by
f(y) = {6y(1-y), 0 <= y <= 1 AND 0 elsewhere}
a)Find F(y)
b)Graph F(y) and f(y)
c)Find P(.5<=Y<=.8)
Thanks for any help!!
Let's start with a).
$\displaystyle \displaystyle F_Y(y)=\int_{-\infty}^y f_Y(\zeta)d\zeta$
where:
$\displaystyle f_Y(y)=\left\{ \begin{array}{ll}6y(1-y),& 0 \le y \le 1 \\ \\ 0, & \text{otherwise}\end{array} \right.$
Now what exactly is the problem you are having with this?
CB