- standard
Use the rules of probability to compute probabilities of compound events in a uniform probability model
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
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.*
- standard
Use the rules of probability to compute probabilities of compound events in a uniform probability model
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
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.*
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Recognize and explain the concepts of conditional probability and independence in everyday language and everyday situations. For example, compare the chance of…
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
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 sampl…
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
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 g…
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
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 charact…
- standard
Understand independence and conditional probability and use them to interpret data
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Conditional Probability and the Rules of Probability
Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or compl…
- standard
Make inferences and justify conclusions from sample surveys, experiments, and observational studies
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Making Inferences and Justifying Conclusions
Evaluate reports based on data.*
- standard
Make inferences and justify conclusions from sample surveys, experiments, and observational studies
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Making Inferences and Justifying Conclusions
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.*
- standard
Make inferences and justify conclusions from sample surveys, experiments, and observational studies
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Making Inferences and Justifying Conclusions
Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.*
- standard
Make inferences and justify conclusions from sample surveys, experiments, and observational studies
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Making Inferences and Justifying Conclusions
Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each.*
- standard
Understand and evaluate random processes underlying statistical experiments
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Making Inferences and Justifying Conclusions
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. For example, a model says a spinning coin …
- standard
Understand and evaluate random processes underlying statistical experiments
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Making Inferences and Justifying Conclusions
Understand statistics as a process for making inferences about population parameters based on a random sample from that population.*
- standard
Interpret linear models
- 9th - 12th Grade
- Michigan State Math Standards
- Statistics and Probability: Interpreting Categorical and Quantitative Data
Distinguish between correlation and causation.*