Mathematical Statistics and Data Analysis
Mathematical Statistics and Data Analysis
3rd Edition
ISBN: 9781111793715
Author: John A. Rice
Publisher: Cengage Learning
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Chapter 2.5, Problem 36P
To determine

Find the distribution of the random variable X=[nU].

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Let Z be a N(0, 1) random variable, and let F(x) be thecumulative distribution function for Z. Show that on S (∞, 0], F(x) is an increasing convex function, and on S [0, ∞), F(x) is an increasing concave function.
Let Xi be arandom sample from U(0,1)prove that Xn’ convarges in probability to 0.50
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