Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:
Scratch high 70 9
Resistance low 16 5
Let A denote the event that a disk has high shock resistance, and let B denote the event that a disk has high scratch resistance.
If a disk is selected at random, determine the following probabilities:
(a) P (A) (b) P (A)
(c) P (A`) (d) P (A ∩ B)
(e) (A U B) (f) (A` U B)