Question: f1. We need to demonstrate that f(x) is a density function. It is possible if a(1 - x)-idx = 1 : F(x) = 1 -00

\f1. We need to demonstrate that f(x) is a\f1. We need to demonstrate that f(x) is a\f1. We need to demonstrate that f(x) is a\f1. We need to demonstrate that f(x) is a\f1. We need to demonstrate that f(x) is a
\f1. We need to demonstrate that f(x) is a density function. It is possible if a(1 - x)"-idx = 1 : F(x) = 1 -00 ( F() dx + ( F( x) ax + ( F( ) dx = 1 -00 F(x) dx = 1 1 - x = u when x = 0, u = 1 dx = u when x = 1, u = 0 SO, -au"-1du = 1 au"-1du = 1 . F(u)du = - F(u)du a un-1+1 a = 1 n- 1+1 a =1 a (- -0) =1 -=1 :a =n n2. F(x) = P(x <>

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