Solution Found!
In an injection-molding operation, the length and width,
Chapter 2, Problem 22E(choose chapter or problem)
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.