Suppose that you are given a decision situation with three possible states of nature: S₁, S₂, and s3. The prior probabilities are P(s₁) = 0.3, P(s₂) = 0.2, and P(S3) = 0.5. With sample information I, P(I|s₁) = 0.1, P(I|s₂) = 0.05, and P(I|s3) = 0.2.Compute the revised or posterior probabilities: P(S₁|I), P(S₂|I), and P(S3I). (Round your answers to four decimal places.)P(S₁|I)P(S₂|I)P(S3|1)

It is given that: Ps1=0.3Ps2=0.2Ps3=0.5 PI|s1=0.1PI|s2=0.05PI|s3=0.2

Suppose that you are given a decision situation with three possible states of nature: S₁, S₂, and $3. The prior probabilities are P(S₂) = 0.3, P(S₂) = 0.2, and P(S3)=0.5. With sample information I, P(I|s₂) = 0.1, P(I|s₂) = 0.05, and P(IS3) = 0.2. Compute the revised or posterior probabilities: P(s,II), P(S₂11), and P(S3II). (Round your answers to four decimal places.) P(S₂11) P(S₂11) P(S311)

Suppose that you are given a decision situation with three possible states of nature: S₁, S₂, and $3. The prior probabilities are P(S₂) = 0.3, P(S₂) = 0.2, and P(S3)=0.5. With sample information I, P(I|s₂) = 0.1, P(I|s₂) = 0.05, and P(IS3) = 0.2. Compute the revised or posterior probabilities: P(s,II), P(S₂11), and P(S3II). (Round your answers to four decimal places.) P(S₂11) P(S₂11) P(S311)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 30E

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