Unit 8:
Investigating Probability & Statistics
G.PR.10: Solve problems involving the probability of compound events to make informed decisions; interpret expected value and measures of variability to analyze probability distributions.
G.DSR.11: Examine real-life situations presented in a two-way frequency table to calculate probabilities, to model categorical data, and to explain real-life phenomena.
G.DSR.11: Examine real-life situations presented in a two-way frequency table to calculate probabilities, to model categorical data, and to explain real-life phenomena.
Learning Goal:
- I can identify events as mutually exclusive or independent and explain them in the context of the situation.
- I can determine the probability of two union events (addition rule) and the intersection of two independent events (multiplication rule).
- I can find the probability of the complement when the likelihood of the event is known.
- I can analyze categorical data to construct a two-way frequency table to find the union and intersection probabilities.
|
|
|
|
|
|
Learning Goal:
- I can analyze categorical data to construct a two-way frequency table to find the conditional probabilities.
- I can analyze and interpret categorical data to identify possible associations and trends.
- I can decide and interpret the independence of events using conditional probabilities.
- I can interpret risk measures in a study or model using conditional probability.
|
|
|
|
Learning Goal:
- I can use permutations and combinations to determine the number of outcomes in a situation to calculate the probability of compound events.
|
|
|
|
Learning Goal:
- I can develop a probability distribution based on theoretical probability or empirical data.
- I can calculate the expected value of random variables to make informed decisions.
- I can graph a probability distribution.
|
|
|
|
|
|
Learning Goal:
- I can compare the expected values to weigh the possible outcomes of a decision in a situation and find the expected payoffs.
|
|