Consider the following expression$-$

$1+5**(3+2)+4$

a$.$ Design a context free grammar from which the above expression can be derived.

$(20)-*$A grammar following the formal definition must be designed

b$.$ Demonstrate the derivation of the above expression from the grammar designed.

$(20)-$ "proper derivation process $($e$.$g$.,$ parse tree$/$RMS$/$LMD$)$ must be demonstrated.

c$.$ Is the grammar that you have designed ambiguous? Provide an explanation outlining

the reasons for its classification as either ambiguous or unambiguous. $(20)-*$Logical

reasoning with appropriate demonstration $($e$.$g$.,$ parse tree$)$ must be provided.