Question: 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

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 < <11 centimeters Construct a Venn diagram that includes these events. Shade the areas that represent the following:

(a) A

(c) AUB

(b) 408

(d) AUB

(e) If these events were mutually exclusive, how successful would this production operation be? Would the process pro- duce parts with X 50 centimeters and Y = 10 centimeters?

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