Answered: a) Suppose that X₁, X₂, X3.....X, is a… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 63RE

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Question

a)
Suppose that X₁, X₂, X3.....X is a random sample of n from population X which has a chi-
square distribution with one degrees of freedom.
(i) Find lim Mx (t).
72-00
(ii) Use the Central Limit Theorem to compute P(0.5 < X < 1.5), for n = 30.
(iii) Use the Chebychev inequality to find the value of k for P(0.5 < X < 1.5), if n = 30.

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