Association Rule Mining

$(10$ Marks$)$

A transaction database contains the following items:

$($A$,$B$,$C$,$D$)$

The minimum support threshold is $50\%,$ and the minimum confidence threshold is $60\%.$

a$)$ Calculate support and confidence for the rule $A=>B$ if transactions reveal $60\%$ of customers bought both A and $B,$ and $75\%$ bought A alone.

b$)$ Based on these thresholds, would the rule $A=>B$ be considered a strong association rule? Justify your answer.