Statement of a problem № m555


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?


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