Probability Density Function(PDF) Question

Pringles · #1 $Old$ January 6th, 2009, 03:49 PM

Consider the probability density function(pdf)

p(x)={3/4(1-x^2) if |x|< or = 1
0 otherwise

which random variable X follows.Find the probability that 0</=X</=1/2?

Will someone be kind enough to give me the full workings with explanation so I can study the solution for tomorrow's test.

Plato · #2 $Old$ January 6th, 2009, 03:55 PM

Can you do the basic calculus?
$\int_0^{\frac{1} {2}} {\frac{{3\left( {1 - x^{2} } \right)}} {4}dx} = ?$