Probability - Density Function?

[sgardiner]

Hi,

I'm struggling with the following problem. I've reread the chapter several times and as I said I'm struggling and really need your assistance please. I have to get this paper in by 8am EST tomorrow morning.

X is a continuous random variable with the following pdf: y=p(x)=2x
0 < or = X < or = 1. (Sorry had to write 0 is less than or equal to X less than or equal to 1). Given that pdf, what is the probability that X is 1/4?

Please help. I'm sure it's simple. I'm just not getting it right now.

Thanks in Advance.

 

[pka]

For any continuous random variable \(\displaystyle X\) if \(\displaystyle a \in \mbox{domain}(X)\) then \(\displaystyle P (X = a) = 0\).