SOLUTION: Let X be a continuous random variable with p.d.f f(x) = 6x(1-x) = 0, otherwise Check that f(x) is a p.d.f

SOLUTION: Let X be a continuous random variable with p.d.f f(x) = 6x(1-x) = 0, otherwise Check that f(x) is a p.d.f

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Question 1087104: Let X be a continuous random variable with p.d.f
f(x) = 6x(1-x)
= 0, otherwise
Check that f(x) is a p.d.f
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Integrate 6x(1-x) between 0 and 1
integral of 6x-6x^2
That is 3x^2-2x3
evaluate at x=1 (1)
and at x=0 (0)
subtract, and x=1

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