Problem 22E

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

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

(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?

Solution:

Step 1 of 5:

It is given that in an injection molding operation, X denotes the length and Y denotes the width of each molded parts.

Also, it is given that an event A denotes 48<X<52 centimeters and an event B denotes

9<Y<11 centimeters

Using this we need to find the required values.