Stats and Probability

Question

The Sample Space of an event is the set of numbers

S = {1,2,3,4,5,6}.

L = {1,2,3,4} A = {3,4,5,6} B = {2,3,4,5}

Find L ∩ A

Find (L U A)'

Find A ∩ B'

Find L U A

Find A' ∩ B'

Find L U B

Answer 1

the intersection of L and A is the set of elements that they have in common: (3,4). Only elements that appear in both sets.

The union of L and A contains the entire Sample Space S. The complement would be the null set, or 0 elements.

The complement of B contains elements from the Sample space not found in B. (1,6) is the complement of B. The intersection of A and (1,6) is (6).

The union of L and A is the sample Space S.

The complement of A is (1,2) and the complement of B is (1,6). Their intersection is (1), the only element in common.

The union of L and B is (1,2,3,4,5)