Consider a relation F with $5$ attributes ABCDE. You are given the following Functional Dependencies:

A $->$ B$,$

BC $->$ E$,$

ED $->$ A$.$

Given a set of FDs for the relation schema F $($A$,$ B$,$ C$,$ D$,$ E$)$ with the candidate keys $\{($CDA$),($CDB$),$ CDE$)\}$

a$.$ List prime attributes and non$-$prime attributes for the relation F$.$ Justify your answer.

A is prime, B is prime

b$.$ Classify each functional dependency for the relation F$.$ Justify your answer.

c$.$ Determine the normal form of the relation F$.$ Justify your answerProblem $422$ pts

Consider a relation $F$ with $5$ attributes ABCDE. You are given the following Functional

Dependencies:

$AB,$

$BCE,$

$EDA.$

Given a set of FDs for the relation schema F $($A$,$ B$,$ C$,$ D$,$ E$)$ with the candidate keys $,$

$($CDB$),$ CDE$)\}$

a$.$ List prime attributes and non$-$prime attributes for the relation F$.$ Justify your answer.

A is prime, $B$ is prime

b$.$ Classify each functional dependency for the relation F$.$ Justify your answer.

c$.$ Determine the normal form of the relation F$.$ Justify your answer