1. © 2006 Baylor University Slide 1 Fundamentals of Engineering Analysis EGR 1302 Unit 4, Lecture C Approximate Running Time is 19 Minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University Procedures: 1.Select “Slide Show” with the menu: Slide Show|View Show (F5 key), and hit “Enter” 2.You will hear “CHIMES” at the completion of the audio portion of each slide; hit the “Enter” key, or the “Page Down” key, or “Left Click” 3.You may exit the slide show at any time with the “Esc” key; and you may select and replay any slide, by navigating with the “Page Up/Down” keys, and then hitting “Shift+F5”.

2. © 2006 Baylor University Slide 2 Venn Diagram from a Defined Event E- the set of all students taking English C- the set of all students taking Chemistry P- the set of all students taking Physics Graph the Event - Students who are taking English and at least one science course E C P

3. © 2006 Baylor University Slide 3 Set Expressions from Venn Diagrams 1 2 3 4 5 6 7 8 A B C

4. © 2006 Baylor University Slide 4 Sum of Products Set Expressions from Venn Diagrams P C E

5. © 2006 Baylor University Slide 5 Set Expressions & Venn Diagrams Use Sum of Products

6. © 2006 Baylor University Slide 6 Set Expressions Example B C A

7. © 2006 Baylor University Slide 7 Cardinality of Sets The Number of Elements (or Objects) in a Set BA B A 10 2

8. © 2006 Baylor University Slide 8 Cardinality of Sets Example (Text Example 35.7) An example of evaluating Process quality

9. © 2006 Baylor University Slide 9 Cardinality of Sets Puzzle Every Blip is a Blop. Half of all Bleeps are Blops. Half of all Blops are Blips. There are 30 Bleeps and 20 Blips. No Bleep is a Blip. How many Blops are neither Blips nor Bleeps? BEFORE YOU LOOK AT THE SOLUTION: Construct a Venn Diagram that shows the relationship between these sets, and show the number of elements of each section of the set.

10. © 2006 Baylor University Slide 10 1. Every blip is a blopblop blip bleep 2. Half of all bleeps are blops blop blip 0.5 3. Half of all blops are blips bleep blop blip 0.5 No bleep is a blip bleep blop blip 15 5 20 n(blops) = 40 n(blips) = 20 n(bleeps) = 30 The Answer is 5. Cardinality of Sets Puzzle Solution

11. © 2006 Baylor University Slide 11 This concludes Unit 4, Lecture C