HSS-CP.A.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. Grade levels | ||
HSS-CP.A.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. Grade levels | ||
HSS-CP.A.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. Grade levels | ||
HSS-CP.B.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. Grade levels | ||
HSS-CP.B.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. Grade levels | ||
HSS-CP.B.8 | ||
|---|---|---|
(+) Apply the general Multiplication Rule in a uniform probability model, P(A and B) = P(A)P(B|A) = P(B)P(A|B), and interpret the answer in terms of the model. Grade levels | ||
HSS-CP.B.9 | ||
|---|---|---|
(+) Use permutations and combinations to compute probabilities of compound events and solve problems. Grade levels | ||
HSS-IC.A.1 | ||
|---|---|---|
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. Grade levels | ||
HSS-IC.A.2 | ||
|---|---|---|
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 falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model? Grade levels | ||
HSS-IC.B.3 | ||
|---|---|---|
Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. Grade levels | ||