a) What i… Show more Please answer and explain

1) Given A = [E1, E3, E7, E9] and B = [E2, E3, E8, E9],

a) What is A intersection B?

b) What is the union of A and B?

c) is the union of A and B collectively exhaustive?

2) Given A = [E3, E5, E6, E10] and B = [E3, E4, E6, E9],

a) What is A intersection B?

b) What is the union of A and B?

c) is the union of A and B collectively exhaustive?

3) Consider question (2) , with the following four basic outcomes for the Dow Jones Industrial Average over 2 consecutive day:

O1: The Dow Jones average rises on both days.

O2: The Dow Jones average rises on the first day but does not rise on the second day.

O3: The Dow Jones average does not rise on the first day but does rise on the second day.

O4: The Dow Jones average does not rise on either day.

Let events A and B be the following :

A: The Dow Jones average rises on the first day.

B: The Dow Jones average rises on the second day.

a) Show that (A ? B) ? (? ? B) = B

B) Show that A ? (? ? B) = A ? B

4) Use Venn Diagrams to determine whether the following statements are true or false.

a) (AÈB)’ÇC=(A’ÇC)È(B’ÇC)

b) (AÈB)’ÇC=A’ÇB’ÇC • Show less