(adsbygoogle = window.adsbygoogle || []).push({}); Find a constant c such that f(x,y)=cx^{2}+ e^{-y}, -1<x<1, y>0, is a proper probability density function.

My idea:

f(y)

1

=∫ f(x,y) dx

-1

So I have found f(y), now I set the following integral equal to 1 in order to solve for c:

∞

∫ f(y) dy = 1

0

Integrating, I get something like (c)(∞)+...=1

If this is the case, how can I solve for c? (can't divide something by infinity) Is this question even possible?

Thanks!

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# Homework Help: Probability density function homework

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