If p.d.f. of a a c.r.v. X is f(x) = ae...

If p.d.f. of a a c.r.v. X is
`f(x) = ae^(-ax) , x ge 0, a gt 0`
`= 0` , otherwise.
If `P(0 lt X lt K)=0.5` , then K =

A

(a) `1/2 log a`

B

(b) `1/a log 2`

C

(c) `1/2 log 2`

D

(d) `1/a log a`

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The correct Answer is:

B

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