16.4 The program below specifies a Bayesian network according to the conventions used in the program of Figure 16.4. parent(a,c). parent(b,c). parent(b,d). parent(c,e). p

(a, 0.1). p

(b, 0.2). % p

(a) = 0.1 p

(c, [a,b], 0.5). p

(c, [not

a, b], 0.0). p

(c, [a, not b], 0.9). p

(c, [not

a, not b], 0.4). p

(d, [b], 0.9). p

(d, [not b], 0.1). p

(e, [c], 0.6). p

(e, [not c], 0.1). % p(c | a A

b) 0.5 % p(ca Ab) = 0.0 In questions (a)-(c), estimate without numerical calculation which of the mentioned probabilities is greater:

(a) p

(a) or p(a | e)?

(b) p(c |

a) or p(c | ad)?

(c) p

(e) or p(e d)?

Calculate the probabilities:

(d) p(a | bc) = ?

(e) p(a |

c) = ?

(f) Run the program of Figure 16.4 to check your answers to the questions (a)-(e).