Question: f(x) = { c * x 2 (1-x) for 0 x 1 { 0 otherwise 1) f(x) is a valid probability density function, what is

f(x) = { c * x2 (1-x)for 0 x 1

{ 0 otherwise

1) f(x) is a valid probability density function, what is c?

A) 3

B) 6

C) 12

D) 24

{ 0 for x < 0

F (x) = { ? for 0 x 1

{ 1 for x > 1

2) For F(x), the cumulative density function is...?

A) c * x2 ( 1 - x )

B) c * x3 ( 1 - x ) 2

C) c * ( x 3 - x4)

D) c * (1/3x3 - 1/4x4 )

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