Assume I observe 3 data points x1, x2, and x3 drawn independently from an unknown distribution. Given a model M, I can calculate the likelihood for each data point as Pr(x1 | M) = 0.5, Pr(x2 | M) = 0.1, and Pr(x3 | M) = 0.2. What is the likelihood of seeing all of these data points, given the model M: Pr(x1, x2, x3 | M)?
Assume I observe 3 data points x1, x2, and x3 drawn independently from an unknown distribution. Given a model M, I can calculate the likelihood for each data point as Pr(x1 | M) = 0.5, Pr(x2 | M) = 0.1, and Pr(x3 | M) = 0.2. What is the likelihood of seeing all of these data points, given the model M: Pr(x1, x2, x3 | M)?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Assume I observe 3 data points x1, x2, and x3 drawn independently from an
unknown distribution. Given a model M, I can calculate the likelihood for each data point as Pr(x1 | M) = 0.5, Pr(x2 | M) = 0.1, and Pr(x3 | M) = 0.2. What is the
likelihood of seeing all of these data points, given the model M: Pr(x1, x2, x3 | M)?
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