Welcome! The new FreeMathHelp.com forum is live. We've moved from VB4 to Xenforo 2.1 as our underlying software. Hopefully you find the upgrade to be a positive change. Please feel free to reach out as issues arise -- things will be a little different, and minor issues will no doubt crop up.

Suppose X is a random variable whose density is f(x) = cx(1-x) for 0<x<1, and f(x) = 0 otherwise. Find:
a) the value of c
b) P(X <= 1/2)
c) P(X <= 1/3)

I'm not sure how to do part a), but would part b) be the integral from 0 to 1/2 of cx(1-x) dx , and then solve it that way?
Thanks!

Suppose X is a random variable whose density is f(x) = cx(1-x) for 0<x<1, and f(x) = 0 otherwise. Find:
a) the value of c
b) P(X <= 1/2)
c) P(X <= 1/3)