Question: Lost on this need help The tables below show prior, conditional, joint, marginal, and posterior probabilities for 3 states of nature: Good, Fair, and Poor.

Lost on this need help

Lost on this need help The tables below show prior, conditional, joint,

The tables below show prior, conditional, joint, marginal, and posterior probabilities for 3 states of nature: Good, Fair, and Poor. Encouraging and Discouraging are the possible forecasts of sample information. Encouraging Prior Conditional Joint Posterior Good 0.1 0.68 0.068 0.116 Fair 0.2 0.48 0.096 0.164 Poor 0.7 0.6 0.42 0.719 Discouraging Prior Conditional Joint Posterior Good 0.1 0.32 0.032 0.077 Fair 0.2 0.52 0.104 0.25 Poor 0.7 0.4 0.28 0.673 Use the given tables to determine the following probabilities: a) P(Good) = b) P(Encouraging | Poor) = c) P(Discouraging | Poor) = d) P(Discouraging and Poor) = e) P(Encouraging and Poor) = f) P(Poor | Discouraging) = g) P(Poor | Encouraging) = h) P(Encouraging) =

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