The lifetime (in months) of a new tablet tablet, Tablet XYZ, follows a Gamma(6, 3). Let Y= lifetime of the ith tablet. Assume Y₁,..., Y₁ is a random sample of size n such that Y~ gamma(6, 3). (a) Assume n = 2. Use as a pivotal quantity to derive a (1-a) 100% confidence interval for 3. If you could not obtain the distribution of the pivotal quantity, assume that 2x²(5), and use it to construct a (1-a)100% confidence interval for 3.
The lifetime (in months) of a new tablet tablet, Tablet XYZ, follows a Gamma(6, 3). Let Y= lifetime of the ith tablet. Assume Y₁,..., Y₁ is a random sample of size n such that Y~ gamma(6, 3). (a) Assume n = 2. Use as a pivotal quantity to derive a (1-a) 100% confidence interval for 3. If you could not obtain the distribution of the pivotal quantity, assume that 2x²(5), and use it to construct a (1-a)100% confidence interval for 3.
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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