**INTERPRETING CATEGORICAL AND QUANTITATIVE DATA (S.ID)**

__SUMMARIZE, REPRESENT, AND INTERPRET DATA ON TWO CATEGORICAL AND QUANTITATIVE VARIABLES__**MCC9-12.S.ID.6**Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.★

**MCC9-12.S.ID.6a**Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize quadratic models.★

**CONDITIONAL PROBABILITY AND THE RULES OF PROBABILITY (S.CP)**

__UNDERSTAND INDEPENDENCE AND CONDITIONAL PROBABILITY AND USE THEM TO INTERPRET DATA__**MCC9-12.S.CP.1**Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events (“or,” “and,” “not”).★

**MCC9-12.S.CP.2**Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.★

**MCC9-12.S.CP.3**Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.★

**MCC9-12.S.CP.4**Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities.

*For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.*★

**MCC9-12.S.CP.5**Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations.

*For example, compare the chance of having lung cancer if you are a smoker with the chance of being a smoker if you have lung cancer.*★

__USE THE RULES OF PROBABILITY TO COMPUTE PROBABILITIES OF COMPOUND EVENTS IN A UNIFORM PROBABILITY MODEL__**MCC9-12.S.CP.6**Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A, and interpret the answer in terms of the model.★

**MCC9-12.S.CP.7**Apply the Addition Rule, P(A or B) = P(A) + P(B) – P(A and B), and interpret the answer in terms of the model.★