Suppose that X is a discrete random variable with the following probability mass func- tion: 3 p(X) 20/3 0/3 2(1 – 0)/3 (1 – 0)/3 where 0 <0 < 1 is a parameter. The following 10 independent observations were taken from such a distribution: (3,0, 2, 1, 3, 2, 1,0, 2, 1). Use the method of maximum likelihood to find the estimate of 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Suppose that X is a discrete random variable with the following probability mass func-
tion:
3
p(X) 20/3 0/3 2(1- 0)/3 (1 – 0)/3
where 0 <0< 1 is a parameter. The following 10 independent observations were taken from such a
distribution: (3,0, 2, 1, 3, 2, 1,0, 2, 1). Use the method of maximum likelihood to find the estimate
of 0.
Transcribed Image Text:Suppose that X is a discrete random variable with the following probability mass func- tion: 3 p(X) 20/3 0/3 2(1- 0)/3 (1 – 0)/3 where 0 <0< 1 is a parameter. The following 10 independent observations were taken from such a distribution: (3,0, 2, 1, 3, 2, 1,0, 2, 1). Use the method of maximum likelihood to find the estimate of 0.
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