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Aim 84 Venn Diagrams.notebook
May 02, 2017
Quick Review
1. If a bank account grew from $4,000 to $20,000 over 20 years, what was the average annual growth rate?
2. Express: 2+5+8+....74 in sigma notation. 1
Aim 84 Venn Diagrams.notebook
May 02, 2017
HW Solutions
1. 272/300
2. 40/45
3. 2/3
4. 1/2
5. 1/2
*Explanation: The 2 coin flips are independent of each other. 6. a. 1/2
b. 3/8
7. 1/2
8. 2/3
9. a. 1/2
b. 3/4
10. a. 3/8
b. 5/8
11. a. 1/2
b. 1/4
c. 1/5
12. a. 1/2
b. 2/3
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Aim 84 Venn Diagrams.notebook
May 02, 2017
Venn Diagrams
Used to divide a population in different subsets.
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Aim 84 Venn Diagrams.notebook
May 02, 2017
Symbols with Venn Diagrams:
~A Represents the complement of set A. The elements that are NOT in set A
A∩B Intersection. Represents the elements that are in both sets A and B
A∪B Union. The elements that are in either set A or set B
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Aim 84 Venn Diagrams.notebook
May 02, 2017
Construct a Venn Diagram for each of the following sets
~A ∩ B
~A∪~ B
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Aim 84 Venn Diagrams.notebook
May 02, 2017
Some tougher ones
A∪~B
~(A∩B)
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Aim 84 Venn Diagrams.notebook
May 02, 2017
Venn Diagrams
Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. a) If five students are in both classes, how many students are in neither class? b) How many are in either class? c) What is the probability that a randomly­chosen student from this group is taking only the Chemistry class?
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Aim 84 Venn Diagrams.notebook
May 02, 2017
At a grocery store customers were surveyed: 25% use coupons, 43% bring their own bags, and 12% do both
What is the probability a random shopper:
a. Uses coupons but does not bring a bag?
b. Uses coupons or brings a bag?
c. Doesn't use coupons or bring a bag?
d. Uses coupons given that he brings a bag?
e. Brings a bag given that he doesn't use coupons?
f. Are these two events ﴾using coupons and
bringing a bag﴿ independent?
g. Are these events independent?
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Aim 84 Venn Diagrams.notebook
May 02, 2017
You can check for independence 3 ways: 1. P﴾C B﴿=P﴾C﴿*P﴾B﴿ 2. P﴾C|B﴿=P﴾C﴿
3. P﴾B|C﴿=P﴾B﴿
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Aim 84 Venn Diagrams.notebook
May 02, 2017
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