Thread: Probability Distribution Help?
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Old December 28th, 2008, 04:59 PM
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Originally Posted by RossBrons View Post
Hey there,

I was wondering if anyone could shed any light on thse questions. My knowledge in this area is sketchy. I would welcome any help greatly!



Kind Regards,
Ross
I have time for Q19 (i) and (ii):

Mean: E(X) = \int_{-\infty}^{\infty} x \, f(x) \, dx = \int_0^1 x \, 2 (1 - x) \, dx = \int_0^1 2x (1 - x) \, dx = \, ....

Variance: Var(X) = E(X^2) - [E(X)]^2.

E(X^2) = \int_{-\infty}^{\infty} x^2 \, f(x) \, dx = \int_0^1 x^2 \, 2 (1 - x) \, dx = \int_0^1 2x^2 (1 - x) \, dx = \, ....

(iii) You should do some research.
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