Question

Find k if the following function represent p.d.f. of r.v. X.

(i)
f(x) = kx, for 0<x< 2 and = 0 otherwise, Also find P

(1/4<x<3/2)
(ii) f(x) = kx (1 - x), for 0 <x< 1 and=0 otherwise also find P (1/4<x<1/2) , P(x<1/2)
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Answer 1

Answer:

f(x) = kx, for 0<x< 2 and = 0 otherwise, Also find P.