(a) Show that X, X where X N(0,2) (Hint: look up what is the mean and variance of a chi-squared distribution?) (b) n= 30. Find the exact P(Y > 43.8) using a chi-squared table. (c) Approximate P(Y > 43.8) for n= 30 using a normal approximation

(a) Show that X, X where X N(0,2) (Hint: look up what is the mean and variance of a chi-squared distribution?) (b) n= 30. Find the exact P(Y > 43.8) using a chi-squared table. (c) Approximate P(Y > 43.8) for n= 30 using a normal approximation

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

4. Let Y x (i.e. Y follows a chi-squared with 1 degree of freedom), let X, = n¬\/2 y – n\/2
%3D
(a) Show that X, X where X N(0,2) (Hint: look up what is the mean and variance of
a chi-squared distribution?)
(b) n= 30. Find the exact P(Y > 43.8) using a chi-squared table.
(c) Approximate P(Y > 43.8) for n= 30 using a normal approximation

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