Description
1. Construct a Bayesian network (showing all nodes, links, and conditional probability tables)
that is consistent with the below full joint probability distribution below over four Boolean
random variables (Party, Sleep, Study, Pass) and consistent with the following three
conditions. Round each probability in the conditional probability tables to the nearest tenth.
• Sleep is conditionally independent of Study given Party.
• Study is conditionally independent of Sleep given Party.
• Pass is conditionally independent of Party given Sleep and Study.
Party Sleep Study Pass Probability
true true true true 0.0216
true true true false 0.0024
true true false true 0.0224
true true false false 0.0336
true false true true 0.0216
true false true false 0.0144
true false false true 0.0084
true false false false 0.0756
false true true true 0.3024
false true true false 0.0336
false true false true 0.0896
false true false false 0.1344
false false true true 0.0864
false false true false 0.0576
false false false true 0.0096
false false false false 0.0864
2