Given P(Model|Data)P(Data), P(Model) following statements are true with a formal mathematical proof. P(Data|Model) : or P(D\M) = "(M|D)P(D) show that the P(M) Show that a. P(D|M) = "(M\DyP(DIM")(1-P(M))+(1-P(D]M)P(M))| 1-p(M) b. Р(D) %3D P(DIM)(1 — Р(М)) + (1 - Р(D' /M)P(M) )
Given P(Model|Data)P(Data), P(Model) following statements are true with a formal mathematical proof. P(Data|Model) : or P(D\M) = "(M|D)P(D) show that the P(M) Show that a. P(D|M) = "(M\DyP(DIM")(1-P(M))+(1-P(D]M)P(M))| 1-p(M) b. Р(D) %3D P(DIM)(1 — Р(М)) + (1 - Р(D' /M)P(M) )
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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Prove the Probality thereom below.

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Given
P(Model|Data)P(Data)
P(M|D)P(D)
P(Data|Model) =
or P(D|M) =
show that the
P(Model)
p(M)
following statements are true with a formal mathematical proof.
Show that
P(M|D)[P(D\M')(1-P(M))+(1-P(D\M)P(M))|
a. P(D|M) =
1-p(M")
b. P(D) = P(D|M')(1 – P(M)) + (1 – P(D'/M)P(M) )
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