(4) Let X = +1 with probability 1/2 each. Let Xn = (-1)" . X. 1) Prove that Xn = X. 2) Prove that Xn does not converge to X (or any other random variable) in proba- bility.

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
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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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(4) Let X = +1 with probability 1/2 each. Let Xn = (-1)" . X.
1) Prove that Xn = X.
2) Prove that Xn does not converge to X (or any other random variable) in proba-
bility.
Transcribed Image Text:(4) Let X = +1 with probability 1/2 each. Let Xn = (-1)" . X. 1) Prove that Xn = X. 2) Prove that Xn does not converge to X (or any other random variable) in proba- bility.
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