(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let f(x) = (1 + ux)/2 for -1<= x <= 1 and 0 otherwise . where -1<= u <= 1

a) show f is a density

2. Relevant equations

TO show

1. f(x) >= 0

2. intergeral f (from -infinity to infinity) = 1

3. The attempt at a solution

I have done 2. and proved that it is 1 by taking the intergeral of f.

However, how do u show f >= 0.

i have found the dervavtive of f to be u / 2 for -1<= x <= 1 and 0 otherwise.

I dun know where to go?

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# Homework Help: Show f is a probability density function

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