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Imagine that you have a sack of 3 balls th= four hypotheses for the distribution of colo (3) 1 is red, and (4) all are green. Initially hypothesis is correct and thus you ass Suppose that you pick one ball out of the s to determine the new probabilities foe eac

Imagine that you have a sack of 3 balls th= four hypotheses for the distribution of colo (3) 1 is red, and (4) all are green. Initially hypothesis is correct and thus you ass Suppose that you pick one ball out of the s to determine the new probabilities foe eac

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Imagine that you have a sack of 3 balls that can be either red or green. There are four hypotheses for the distribution of colors for the balls: (1) all red, (2) 2 are red, (3) 1 is red, and (4) all are green. Initially, you have no information about which hypothesis is correct and thus you assume that they are equally probable. Suppose that you pick one ball out of the sack and it is green. Use Baye's theorem to determine the new probabilities foe each hypothesis.
Transcribed Image Text:Imagine that you have a sack of 3 balls that can be either red or green. There are four hypotheses for the distribution of colors for the balls: (1) all red, (2) 2 are red, (3) 1 is red, and (4) all are green. Initially, you have no information about which hypothesis is correct and thus you assume that they are equally probable. Suppose that you pick one ball out of the sack and it is green. Use Baye's theorem to determine the new probabilities foe each hypothesis.
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