# Thread: Continuous Random Variable question

1. ## Continuous Random Variable question

The continuous random variable X has cumulative distribution function F given by

for
for
for .

Part a] is to find , which I found as 0.0625, the next part is to find the median of X. How is that done?

2. Originally Posted by db5vry
The continuous random variable X has cumulative distribution function F given by

for
for
for .

Part a] is to find , which I found as 0.0625, the next part is to find the median of X. How is that done?
Find the value of x such that F(x) = 1/2, that is, solve $\frac{1}{2} (x^2 + x) = \frac{1}{2}$ for x over the domain $0 \leq x \leq 1$.