Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows: shock resistance high low scratch high 70 9 resistance low 16 5 The frequency of each type of transaction (in the second column) can be used as the percentage of each type of trans action. The average number of selects operations required for each type of transaction is shown. Let 4 denote the event of transactions with an average number of selects operations of 12 or fewer. Let 8 denote the event of transactions with an average number of updates operations of 12 or fewer. Calculate the following probabilities.

(a) P(A)

(d) P(48)

(b) P(B)

(e) P(AUB)

(c) PAB)