5. Given X1,X2...Xn is a random sample from a N(H,0²) distribution, determine the sampling distribution (distribution and expected value) of the sample variance s? =÷(X- £)². %3D n-1

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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answer item 5
3. If X has at distribution with k degrees of freedom, determine the distribution of 1/X2.
4. Let X1 and X2 be random samples from a standard normal distribution, answer the following questions
a. What is the distribution of ?
b. What is the distribution of +X;)*.
(X2-X,)?
:?
X,+X,
c. What is the distribution of-
d. What is the distribution of if Z = ?
5. Given X1,X2. X, is a random sample from a N(H,02) distribution, determine the sampling
distribution (distribution and expected value) of the sample variance s? = E(X, - x)?.
n-1
Transcribed Image Text:3. If X has at distribution with k degrees of freedom, determine the distribution of 1/X2. 4. Let X1 and X2 be random samples from a standard normal distribution, answer the following questions a. What is the distribution of ? b. What is the distribution of +X;)*. (X2-X,)? :? X,+X, c. What is the distribution of- d. What is the distribution of if Z = ? 5. Given X1,X2. X, is a random sample from a N(H,02) distribution, determine the sampling distribution (distribution and expected value) of the sample variance s? = E(X, - x)?. n-1
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