Consider the following Bayesian Network, where variables A$-$D are all Boolean$-$valued

A P$($A true$)0\mathrm{.}2$

BP$($B$=$true$)=0\mathrm{.}7$

c

$[10]$

A

B

P$($C$)$A$.$B$)$

false false $0\mathrm{.}1$

false true $0\mathrm{.}5$ true false $0\mathrm{.}4$

true true $0\mathrm{.}9$

B

C

false false $0\mathrm{.}8$

P$($D$=$true $|$ B$,$ C$)$

false true $0\mathrm{.}6$

true false $0\mathrm{.}3$ true true $0\mathrm{.}1$

$1.$ What is the probability that C is true, D is false, and B is false?

ii$.$ What is the probability that C is true given that D is false and B is false?

$[4]$

$[6]$

b$)$ Explain the difference between scripts and frames with reference to knowledge representation.