2. The tables below include 3 states of nature: Good, Fair, and Poor. Encouraging and Discouraging are the possible forecasts of sample information. Encouraging State of Prior Conditional Joint Posterior nature Good 0.3 0.32 Fair 0.1 Poor 0.18 Discouraging State of Prior Conditional Joint Posterior Nature Good 0.3 Fair 0.1 0.2 Poor Fill out the missing values for prior, conditional, joint, marginal, and posterior probabilities and find the following probabilities: a) P(fair and discouraging) b) P(Good/Encouraging) c) P(Encouraging/Fair)