Let Y ~x (i.e. Y follows a chi-squared with 1 degree of freedom), let X„ = n-1/2 y – n'12 %3D d (a) Show that Xn 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
Let Y ~x (i.e. Y follows a chi-squared with 1 degree of freedom), let X„ = n-1/2 y – n'12 %3D d (a) Show that Xn 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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