Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?

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- Nov 7th 2010, 11:02 AMSneakyexpected value help
Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?

- Nov 7th 2010, 11:06 AMmr fantastic
- Nov 7th 2010, 11:22 AMSneaky
E(min(X,100)) can be expanded into

99

summation y*theta*(1-theta)^y

y=o

+

inf.

summation 100*theta*(1-theta)^100

y=100

But I don't know what to do here. - Nov 7th 2010, 02:13 PMmatheagle
- Nov 7th 2010, 02:23 PMSneaky
this question means

find the expected value of Z when Z is a function of the smaller value of X or 100, and X is a geometric distribution with expected value of theta.