Bernoulli trials with uniform successes probability

danishkid

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Joined
Feb 3, 2017
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Hello!

This seems really simple but I can still not quite figure it out and would love your assistance.
I have to determine the expected value and variance of the number of successes of n independent Bernoulli trials with a common success probability u, conditioned on u=U where U~Unif(0,1).

I've only heard of the formula for k successes and don't really know where to start. Especially with the probability being uniform distributed.
Thanks in advance!
 
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