Whats a hint to solve E(min(X,100)), when X~Geometric(theta)?
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Originally Posted by Sneaky Whats a hint to solve E(min(X,100)), when X~Geometric(theta)? Review order statistics for geometric random variables.
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.
Originally Posted by Sneaky Whats a hint to solve E(min(X,100)), when X~Geometric(theta)? I work in order stats and I don't know what that means. Is it the smallest order stat from a sample of 100?
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.
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