Finite Math Final Exam verified correct questions and answers

Finite Math Final Exam Set - correct answersA clearly defined group of objects. Element - correct answersA member of a set. -Ex: Set A = {5, 7, 9, 11, 13} ~ To show that 11 is an ______ of the set, we say 11 ∈ A ~ To show that 8 is NOT an _______ of the set, we say 8 ∉ A Symbol for Element - correct answers∈, ∉ Null/Empty Set - correct answersA clearly defined set that has nothing in it. Symbol for Null/Empty Set - correct answersØ or { } Set-Builder Notation - correct answersA way of describing the elements in a set. -Ex: A= {x | x is odd} Read as: A is a set of elements x, such that x is odd. Universal Set - correct answersA set that includes all the objects being discussed. - Ex: U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} Example Sets - correct answersU = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14} A = {5, 7, 9, 11, 13} B = {6, 8, 10, 12, 14} C = {5, 6, 7, 9, 11, 13, 14} D = { } Subset - correct answersSet A is a ______ of Set B if every element in A is also an element of B. -Ex: A = {5, 7, 9, 11, 13} C = {5, 6, 7, 9, 11, 13, 14} So, A ⊆ C but C ⊈ A Symbol for Subset - correct answers⊆,⊈ Number of Subsets - correct answersThere are 2 possibilities for an element: either the element is in the subset or it's not. So the formula is 2^n where n is the number of elements in the set. Formula for Number of Subsets - correct answers2ⁿ Complement - correct answersThe set of elements from the universal set which are NOT in the given set. Complement Rule - correct answersP(E) = 1 - P(E') and P(E') = 1 - P(E) Intersection of Sets - correct answersThe elements which are found in both sets. Symbol for Intersection of Sets - correct answers∩, and Union of Sets - correct answersThe elements which are found in one or the other of the sets. Symbol for Union of Sets - correct answers∪, or Disjoint Sets - correct answersTwo sets that have no elements in common. (Therefore, they do not intersect.) Union Rule - correct answersn(A∪B) = n(A) + n(B) - n(A∩B) Experiment - correct answersAn activity that has an observable result. Trial - correct answersThe repetition of an experiment. Outcome - correct answersOne result of an experiment. Sample Space - correct answersThe set of possible outcomes. Mutually Exclusive - correct answersTwo sets that have no intersection. E∩F = { } Odds For - correct answersThe ratio of favourable to unfavourable outcomes. Formula for Odds For - correct answersP(E) / P(E') Odds Against - correct answersThe ratio of unfavourable to favourable outcomes. Formula for Odds Against - correct answersP(E') / P(E) Probability Distribution Properties (2) - correct answers- The sum of probabilities must = 1 - All values are 0 ≤ p ≤ 1