5. 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-C OLTP benchmark, which simulates a typical order entry application. Average Frequencies and Operations in TPC-C Transaction Frequency Selects Updates New Order 43 23 11 Payment 44 4.2 3 Order Status 4 11.4 0 Delivery 5 130 120 Stock Level 4 0 0The frequency of each type of transaction (in the second column) can be used as the percentage of each type of transaction. The average number of selects operations required for each type of transaction is shown in the third column. Let A denote the event of transactions with an average number of selects operations of 12 or fewer. Let B denote the event of transactions with an average number of updates operations of 12 or fewer. Calculate the following probabilities. a. P(A) b. P(B) c. P(An B) d. P(An B') e. P(AUB)