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1) Suppose tha Y is a random variable having an gamma distribution with a = 1, fin the value of k such that an interval from 0 to ky is a (1 − a)100% confidence interval for the parameter B.

1) Suppose tha Y is a random variable having an gamma distribution with a = 1, fin the value of k such that an interval from 0 to ky is a (1 − a)100% confidence interval for the parameter B.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1) Suppose tha Y is a random variable having an gamma distribution with a = 1, fine the value of k such that an interval from 0 to ky is a (1-a) 100% confidence interval for the parameter B. 2) Suppose that X is a random variable having a probability density function ((7) x² a bba9b078-e2f7-4.mp4 f(x; B) = < CO xetxeo Show whether or not 2X1, Xi is a pivotal quantity, Explain and if yes construct a B 98% Confidence interval for ß if a random sample is given by 2.4, 4.6, 3.3, 3.1, 4.6, 2.2, 3.8 0, elsewhere 1b7e49f432c288b.mp4 PAGES INCLUDING COVER PAGE. MJD MANAMELA
Transcribed Image Text:1) Suppose tha Y is a random variable having an gamma distribution with a = 1, fine the value of k such that an interval from 0 to ky is a (1-a) 100% confidence interval for the parameter B. 2) Suppose that X is a random variable having a probability density function ((7) x² a bba9b078-e2f7-4.mp4 f(x; B) = < CO xetxeo Show whether or not 2X1, Xi is a pivotal quantity, Explain and if yes construct a B 98% Confidence interval for ß if a random sample is given by 2.4, 4.6, 3.3, 3.1, 4.6, 2.2, 3.8 0, elsewhere 1b7e49f432c288b.mp4 PAGES INCLUDING COVER PAGE. MJD MANAMELA
Expert Solution
Step 1

Given:

Y~Gamma(ɑ=1, β) 

The 1001-α% confidence interval for the parameter β is 0,ky where the value of k is to be determined. 

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