a) Let X₁, X2, X3,..., X be a random sample of size n from population X. Suppose that X~N(0, 1) and Y= Σ=₁Xi-√√n. √n iii) Show using the moment generating function technique that Y is a standard normal random variable. iv) What is the probability that Y² is between 0.02 and 5.02?
a) Let X₁, X2, X3,..., X be a random sample of size n from population X. Suppose that X~N(0, 1) and Y= Σ=₁Xi-√√n. √n iii) Show using the moment generating function technique that Y is a standard normal random variable. iv) What is the probability that Y² is between 0.02 and 5.02?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 19E
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