$5-10.$ An article in the Journal of Database Management $["$Experimental Study of a Self$-$Tuning Algorithm for DBMS Buffer Pools" $(2005,$ Vol. $16,$ pp$.1-20)]$ provided the workload used in the TPC$-$COLTP $($Transaction Processing Performance Council's Version C On$-$Line Transaction Processing$)$ bench$-$ mark, which simulates a typical order entry application. See the following table. The frequency of each type of transaction $($in the second column$)$ can be used as the percentage of each type of transaction. Let X and Y denote the average number of