Let $f(x)=\frac{2 c}{\left(1+x^{2}\right)}$ A) for What Value of C Is F a Probability

Short Answer

Let $f(x)=\frac{2 c}{\left(1+x^{2}\right)}$ a) For what value of c is f a probability density function?
b) For that value of c, find P (-1 < X < 1).