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PROBABILITY: Distribution function

  • Thread starter tamintl
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  • #1
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Homework Statement


A continuous random variable X has density f(x) = ax2(1- x) for 0 < x < 1, and
f(x) = 0 otherwise. Here a is a constant, to be determined. Find the distribution func-
tion FX, the constant a, the expectation E(X), the variance Var(X), and the conditional
probability p(X < 1/2 | X > 1/4)



Homework Equations





The Attempt at a Solution


Really dont know where to start
 

Answers and Replies

  • #2
LCKurtz
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Start by using the fact that
[tex]\int_{-\infty}^\infty f(x)\,dx=1[/tex]
to figure out a. Then use the standard formulas.
 

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