Question

Let X be a random variable having the probability density function
$f(x)=\begin{cases} ax^2+b, & 0 \le x \le 3\\\ 0, & \text{otherwise,} \end{cases}$
where a and b are real constants, and $P(X \ge 2)=\frac{2}{3}.$
Then E(X) equals __________ (round off to 2 decimal places)

Answer 1

The correct answer is 2.10 to 2.55.(approx)