In an injection-molding operation, the length and width, denoted as X and Y, respectively, of each molded part are evaluated. Let
A denote the event of 48 = X = 52 centimeters
B denote the event of 9 = Y = 11 centimeters
C denote the event that a critical length meets customer requirements.
Construct a Venn diagram that includes these events. Shade the areas that represent the following:
(a) A
(b) A ∩ B
(c) A’ U B
(d) A U B
(e) If these events were mutually exclusive, how successful would this production operation be? Would the process produce parts with X _ 50 centimeters and Y _ 10 centimeters?