Please answer and explain <p> 1) Given A = [E1, E3, E7, E9] and B = [E2, E3, E8,
ID: 1181865 • Letter: P
Question
Please answer and explain
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1) Given A = [E1, E3, E7, E9] and B = [E2, E3, E8, E9],
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a) What is A intersection B?
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b) What is the union of A and B?
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c) is the union of A and B collectively exhaustive?
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2) Given A = [E3, E5, E6, E10] and B = [E3, E4, E6, E9],
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a) What is A intersection B?
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b) What is the union of A and B?
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c) is the union of A and B collectively exhaustive?
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3) Consider question (2) , with the following four basic outcomes for the Dow Jones Industrial Average over 2 consecutive day:
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O1: The Dow Jones average rises on both days.
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O2: The Dow Jones average rises on the first day but does not rise on the second day.
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O3: The Dow Jones average does not rise on the first day but does rise on the second day.
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O4: The Dow Jones average does not rise on either day.
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Let events A and B be the following :
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A: The Dow Jones average rises on the first day.
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B: The Dow Jones average rises on the second day.
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a) Show that (A ? B) ? (? ? B) = B
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B) Show that A ? (? ? B) = A ? B
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4) Use Venn Diagrams to determine whether the following statements are true or false.
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a) (A
Explanation / Answer
intersection is =[E3 , E9] union is= [E1,E2,E3,E7,E8,E9] and same is the case with other