Please solve it cearfully

Question $3)[7$ marks$]$ Expert Systems

Using Mycin approach for computing the certainty value, show step be step the inference mechanism. Assume the inference priority is first matched rule and proceed with depth first $($one you match the rule go in deep with its conclusion to the next rule$)$

Facts:

E:$0\mathrm{.}7,$ N:$0\mathrm{.}5,$ B:$0\mathrm{.}8,$ M:$0\mathrm{.}4,$ R:$0\mathrm{.}6,$ Z:$0\mathrm{.}7$

Rules:

Rule $1$: IF $E$ or $N$ then $A(0\mathrm{.}5)$

Rule$2$: IF $M$ and $R$ then $K(0\mathrm{.}7)$

Rule$3$: IF A and B then G $(0\mathrm{.}4)$

Rule$4$: IF G and $Z$ then $M(0\mathrm{.}8)$

Rule $5$: IF K or F:$02$ then G $(0\mathrm{.}9)$