If-f-x-0-othrrwise-2x-0-x-a-is-a-probability-density-funtion-of-a-random-variable-then-a-pls-solve-

Question Number 180734 by srikanth2684 last updated on 16/Nov/22

I f f (x) = {_{0, o t h r r w i s e}^{2 x, 0 ⩽ x ⩽ a} i s a p r o b a b i l i t y

d e n s i t y f u n t i o n o f a r a n d o m

v a r i a b l e, t h e n a = ?

p l s s o l v e

Answered by cortano1 last updated on 16/Nov/22

\underset{0}{\int^{a}} f (x) d x = 1 \Rightarrow \underset{0}{\int^{a}} 2 x d x = 1

\Rightarrow a^{2} = 1; a = 1 (since a > 0)

Commented by srikanth2684 last updated on 16/Nov/22

t h a n k y o u