~x(n) (32) i=1 Exercise 11. Suppose X1, X2,.,Xn is an i.i.d. sample of observations of a random variable X ~ N(u, o2), and X is the sample mean. Show that (X – µ)² ~x°(1) (33) o2 Take care to give a complete explanation, using only those results that have been established! 14
~x(n) (32) i=1 Exercise 11. Suppose X1, X2,.,Xn is an i.i.d. sample of observations of a random variable X ~ N(u, o2), and X is the sample mean. Show that (X – µ)² ~x°(1) (33) o2 Take care to give a complete explanation, using only those results that have been established! 14
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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Transcribed Image Text:Exercise 10. Suppose X1, X2, · , Xn is an i.i.d. sample of observations of
N(u, o?), show that
a random variable X
2~
n
5 (X; - 4)?
~x(n)
(32)
i=1
Exercise 11. Suppose X1, X2,... , Xn is an i. i.d. sample of observations of
a random variable X N(u, o²), and X is the sample mean. Show that
(X - 4)?
~x²(1)
(33)
o2
Take care to give a complete explanation, using only those results that have
been established!
14
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