In an injection-molding operation, the length and width,

Chapter 2, Problem 22E

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QUESTION:

In an injection-molding operation, the length and width, denoted as  and , respectively, of each molded part are evaluated. Let

 denote the event of  centimeters

            denote the event of  centimeters

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

(b) \(A \cap B\)
(c) \(A^{\prime} \cup B\)
(d) \(A \cap B\)
(e) If these events were mutually exclusive, how successful would this production operation be? Would the process produce parts with
 centimeters and  centimeters?

Equation transcription:

Text transcription:

A cap B

A^{prime} cup B

Questions & Answers

QUESTION:

In an injection-molding operation, the length and width, denoted as  and , respectively, of each molded part are evaluated. Let

 denote the event of  centimeters

            denote the event of  centimeters

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

(b) \(A \cap B\)
(c) \(A^{\prime} \cup B\)
(d) \(A \cap B\)
(e) If these events were mutually exclusive, how successful would this production operation be? Would the process produce parts with
 centimeters and  centimeters?

Equation transcription:

Text transcription:

A cap B

A^{prime} cup B

ANSWER:

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.


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