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In: Statistics and Probability

10. Determine whether the following statements are true or false. You must briefly explain your answer....

10. Determine whether the following statements are true or false. You must briefly explain your answer. (a) If Yn is a binomial rv with parameters n and p = 1/n, then limn→∞ Yn is a exponential random variable. (b) If (X, Y ) is uniformly distributed on the unit disk, then X is uniformly distributed on [−1, 1]. (c) If X1, ..Xn, .. are i.i.d. with common mean µ and variance σ 2 , then for any > 0 P(|X1 + .. + Xn − µ| > ) → 0 as n → ∞.

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orchestra answered 2 years ago
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