Question

A probability density function is given by (x) = x(−x²/2),−∞ < x < ∞. The value of K should be 

(a) 1/√2\(\pi\)

(b) √2/\(\pi\) 

(c) 1/2√\(\pi\) 

(d) 1/\(\pi\)√2

Answer 1

 (a) 1/√2\(\pi\)

Gaussian Probability density of a random variable X is given by