Example 17-45. A random variable X takes the values, 0,1, 2, with respecti N +(1-) (1-) 1-a probabilities and 4N + 2 2N 2 where N is a known number and a, O are unknown parameters. If 75 independent observations on X yielded the values 0, 1, 2 with frequencies 27, 38, 10 respectively, estimate 6e and a by the method of moments

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 20E
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Example 17-45. A random variable X takes the values, 0, 1, 2, with respective
(1-) and
1- .
4N
1-
probabilities
4N + 5
2
2N
N
where N is a known number and a, O are unknown parameters. If 75 independent observations
on X yielded the values 0, 1, 2 with frequencies 27, 38, 10 respectively, estimate 0 and a by
the method of moments.
Transcribed Image Text:Example 17-45. A random variable X takes the values, 0, 1, 2, with respective (1-) and 1- . 4N 1- probabilities 4N + 5 2 2N N where N is a known number and a, O are unknown parameters. If 75 independent observations on X yielded the values 0, 1, 2 with frequencies 27, 38, 10 respectively, estimate 0 and a by the method of moments.
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