Examveda

A probability density function is given by $$P\left( x \right) = K\exp \left( { - \frac{{{x^2}}}{2}} \right),\, - \infty < x < \infty $$
The value of K should be

A. $$\frac{1}{{\sqrt {2\pi } }}$$

B. $$\sqrt {\frac{2}{\pi }} $$

C. $$\frac{1}{2}\sqrt \pi $$

D. $$\frac{1}{{\pi \sqrt 2 }}$$

Answer: Option A


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