Answered: If X1 and X2 are independent random…

If X1 and X2 are independent random variables hav-ing binomial distributions with the parameters θ and n1 and θ and n2, show that X1 + X2n1 + n2is a sufficient estimator of θ.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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If X1 and X2 are independent random variables hav-
ing binomial distributions with the parameters θ and n1

and θ and n2, show that X1 + X2
n1 + n2
is a sufficient estimator

of θ.

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