O Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0xª- S0x0-1, if 0

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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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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b)
Let X to be a random sample from a distribution with a probability density function given by
f(x; 0) = {0x0-¹,if 0 < x < 1, 0 € {1,2},
elsewhere
O
It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁:0 = 2.
Suppose that the test rejects Ho if x ≥
ii) Calculate the power of the test.
Transcribed Image Text:b) Let X to be a random sample from a distribution with a probability density function given by f(x; 0) = {0x0-¹,if 0 < x < 1, 0 € {1,2}, elsewhere O It is desired to test a null hypothesis Ho: 0 = 1 against the alternative hypothesis H₁:0 = 2. Suppose that the test rejects Ho if x ≥ ii) Calculate the power of the test.
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