$2)$ The following database is the IMDB data for $6$ movies liked by $12$ users. We would like to make movie recommendations to people who are interested in watching these movies. Identify strong association rules in this database which must have minimum $15\%$ support $($ MinSup $=15\%)$ and minimum $50\%$ confidence $($minConf$=50\%).$ Movies: $-$ Avengers: Infinity War $($AV$)-$ Wonder Woman $($WW$)-$ Spider$-$Man: Homecoming $($SM$)-$ Arrival $($AR$)-$ Passengers $($PS$)-$ Wind River $($WR$)$ For the frequent itemset: $\{$ Wonder Woman, Passengers, Arrival $\}$ a$)$ List all association rules. b$)$ Calculate support and confidence for each association rule. Which association rules are strong? Explain why? c$)$ Calculate lift for each association rule. Explain what kind of relationships between movies. Explain why?