Business Math MATH 1324
North Lake College
David Katz, instructor
Section by Section List of Test Topics For Exam #6 (Chapters 6-7)
The exam will consist of 16 free response questions from this list of 30 topics from your homework sections.
(6-1) List the elements in the intersection of two sets
(6-1) List the elements in the union of two sets
(6-1) List the elements in the Cartesian product of two sets
(6-1) List the elements in the complement of a set
(6-1) Note that intersection and union are commutative; Cartesian product is not commutative
(6-1) Use a Venn diagram to help to determine the intersection, union, or complement of one or more sets
(6-2) Compute the cardinality of a set or a Cartesian product
(6-3) Use the Addition Rule for counting when a problem description includes the word or
(6-3) Use the Multiplication Rule for counting when a problem description includes the word and
(6-4) Recognize whether order is important when counting the elements in a set
(6-4) Use n factorial to count the number of elements when ordering all n elements in a set
(6-4) Use the Permutation Rule to count the number of ways to order r elements from a total of n elements
(6-4) Use the Combinations Rule to count the number of ways to select r elements from a total of n elements
(6-4) Remember that if the order of the elements selected is important, use the Permutations Rule.
(6-4) Know the special symbols for factorial (!), permutation (P), combination (C)
(7-1) Identify the sample space (the set of all possible events/outcomes) for a problem situation
(7-2) Know that probability is a ratio between the number of desired outcomes over the number of all possible outcomes
(7-2) Read a table of data to form the empirical (estimated) probability of an event
(7-3) Use counting rules to form the theoretical probability of an event
(7-5) The set of all possible probabilities for all events in a sample space is called a probability distribution
(7-5) For every probability P, the following is true: 0 < P < 1 or 0% < P < 100%
(7-5) The sum of all probabilities in a probability distribution is one (1)
(7-5) Two events are mutually exclusive or disjoint if the intersection of those events is the empty set
(7-5) Read a table or graph and decide if two events are mutually excusive
(7-5) Use the Addition Rule to compute probability for two disjoint events and for two non-disjoint events (p.402)
(7-5) Know the relationship between the probability of an event and the probability of its complement: P = 1 - P'
(7-6) Selecting items with replacement usually suggests the selection of two or more independent events
(7-6) Selection items without replacement usually suggests the selection of two or more dependent events
(7-6) Use the Multiplication Rule to compute probability for two independent events
(7-6) Use the Conditional Probability Rule to compute probability for two dependent events
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