Imagine that we have the following Bayesian Network: We have the following probabilities: Compute the following three pr
Posted: Sat Feb 19, 2022 3:22 pm
Imagine that we have the following Bayesian Network:
We have the following probabilities:
Compute the following three probabilities:
1.) The conditional probability P(y|x_2, x_1) for y = 1, x_1 = 1
and x_2 = 0
2.) The probability P(x_1, x_2, x_3) for y = 0, x_1 = 0, x_2 = 1
and x_3 = 1
3.) The conditional probability P(y|x_1, x_2, x_3) for y = 0,
x_1 = 1, x_2 = 1 and x_3 = 0
х Х Х. z N
2 0 y 0 1 9990 10 800 200 p(y|2) Ô 0.001 0.200 22 0 NN 0 50 50 0 1 0.0 0.5 1 P(x2|2) (0,0) (1,0) (0,1) (1,1) 23 0 1 980 20 950 50 20 80 15 85 p(x3|21, y) Ô 0.02 0.05 0.80 0.85 2 I 1 0 1 10 10 I 1 0 1 950 50 990 190 0.01 0.05 p 0.05 1 p(x1) p(z|x1)
We have the following probabilities:
Compute the following three probabilities:
1.) The conditional probability P(y|x_2, x_1) for y = 1, x_1 = 1
and x_2 = 0
2.) The probability P(x_1, x_2, x_3) for y = 0, x_1 = 0, x_2 = 1
and x_3 = 1
3.) The conditional probability P(y|x_1, x_2, x_3) for y = 0,
x_1 = 1, x_2 = 1 and x_3 = 0
х Х Х. z N
2 0 y 0 1 9990 10 800 200 p(y|2) Ô 0.001 0.200 22 0 NN 0 50 50 0 1 0.0 0.5 1 P(x2|2) (0,0) (1,0) (0,1) (1,1) 23 0 1 980 20 950 50 20 80 15 85 p(x3|21, y) Ô 0.02 0.05 0.80 0.85 2 I 1 0 1 10 10 I 1 0 1 950 50 990 190 0.01 0.05 p 0.05 1 p(x1) p(z|x1)