Prove or disprove: If f1(x) and f2(x) are probability density functions and if θ1 + θ2 = 1, then θ1f1(x) + θ2f2(x) is a probability density function.

I do not know how to do this at all. Any help would be greatly appreciated.

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- Jul 21st 2010, 04:04 AMcieloproving or disproving probabillity density function
Prove or disprove: If f1(x) and f2(x) are probability density functions and if θ1 + θ2 = 1, then θ1f1(x) + θ2f2(x) is a probability density function.

I do not know how to do this at all. Any help would be greatly appreciated. - Jul 21st 2010, 04:35 AMmr fantastic
- Jul 22nd 2010, 12:18 AMcielo
How nice! Thank you so much for the help!