Given the following Bayesian Network consisting of four Bernoulli random…
Given the following Bayesian Network consisting of four Bernoulli random variables and the associated conditional probability tables:
P(U):
U | P(U) |
|---|---|
0 | 0.5 |
1 | 0.5 |
P(V | U):
U | P(V=0 | U) | P(V=1 | U) |
|---|---|---|
0 | 0.5 | 0.5 |
1 | 0.5 | 0.5 |
P(W | U):
U | P(W=0 | U) | P(W=1 | U) |
|---|---|---|
0 | 1 | 0 |
1 | 0 | 1 |
P(Z | V, W):
V | W | P(Z=0 | V, W) | P(Z=1 | V, W) |
|---|---|---|---|
0 | 0 | 0.5 | 0.5 |
0 | 1 | 1 | 0 |
1 | 0 | 1 | 0 |
1 | 1 | 0.5 | 0.5 |
The value of P(U=1, V=1, W=1, Z=1) = ______ (rounded off to three decimal places).
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