Find the distribution function of the random variable defined as follows,
Let, $\Omega = [0, 3]$ and $\Bbb P$ is probability on $\Omega$.
I guess, this question wants me to find out CDF of $X$.
How should I solve this?
$\int_0^1(2\omega+1) d\omega = 2 ---------------------(i)$
$\int_1^2(\omega^2-1) d\omega = \frac{4}{3} ---------------------(ii)$
$(i)+(ii)+3 = (2 + \frac{4}{3}+3) = \frac{19}{3}$ Ans.
Am I getting somewhere?
I guess, No.