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Answer Venn Diagrams ε = 100% A = 92% B = 94% 87% A represents owning a car. B represents owning an air conditioner. 92% - 87% = 5% 94% - 87% = 7% a) P(A u B) = 99% b) P(A u B) ′ = 1% c) P(A ′ n B) = 7%
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Answer. Venn Diagrams. ε = 100% . A represents owning a car. B represents owning an air conditioner. B = 94%. A = 92%. 87%. 92% - 87% = 5%. 94% - 87% = 7%. P(A u B) = 99% P(A u B) ′ = 1% P(A ′ n B) = 7%. Answer. Venn Diagrams. ε = 100% . H represents history. - PowerPoint PPT Presentation
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Answer Venn Diagrams
ε = 100%
A = 92% B = 94%
87%
A represents owning a car.
B represents owning an air conditioner.
92% - 87% = 5% 94% - 87% = 7%a) P(A u B) = 99%
b) P(A u B) ′ = 1%
c) P(A ′ n B) = 7%
Answer Venn Diagrams
ε = 100%
H = 35% M = 50%
35%+ 50% - 70% = 15%
H represents history.
M represents maths.
35% - 15% = 20% 50% - 15% = 35%
a) P(H u M) = 100% - 30% = 70%
b) Use P(H u M) = P(H) + P(M) – P(H n M)P(H n M) = 35% + 50% - 70% = 15%
c) P( only one of the subjects) = ( P(H) – P(H n M) ) + ( P(M) – P(H n M) ) = ( 35% - 15% ) + ( 50% - 15% )
= 55%
H′nM′ = 30% 100% - 30% = 70%
Answer Venn Diagrams
ε = 1
A = 0.7 B = 0.6
0.4
A = first light red
B = second light red
0.7 – 0.4 = 0.3 0.6 – 0.4 = 0.2a) P(A u B) = 0.9
b) P(A u B)’ = 0.1
c) P(A’ n B) = 0.2
Answer Venn Diagrams
ε = 100%
A = 67% B = 73%
46%67% - 46% = 21% 73% - 46% = 27%
a) P(A n B′) = 67% - 46% = 21%
b) P(A′ n B) = 73% - 46% = 27%
c) P(A n B′) + P(A′ n B) = 21% + 27%= 48%
d) 100% – (A u B) (A u B) = (A) + (B) – ( A n B )
= 67% + 73% – 46% = 94% The percentage neither the panel nor the judge would convict = 100% – 94% = 6%
A = jury convicts
B = judge convicts
67% + 73% – 46% = 94%100% - 94% = 6%
