Course Overview

This second semester of Probability and Statistics gives 11th and 12th grade students a more in-depth look at
statistics and its many applications with an emphasis on inferential statistics, as well as compound and conditional
probabilities. Students also are introduced to advanced counting techniques.

The semester begins with the concept of sample space, basic probability, and the difference between theoretical and
experimental probabilities. Throughout the course, students then explore normal data distributions and its properties,
followed by a look at the standard normal distributions and its usefulness as a probability model for making inferences
about a population. The remainder of the semester is devoted to hypothesis testing using various significance tests.
Hypothesis testing is then put into practice through a variety of real-world applications and projects.

Each of the five units in Semester B includes twelve lessons and one project. Each lesson has a minimum of thirteen
formative assessment questions to enable students and their teacher to gauge student understanding. Summative
assessments include three quizzes in each unit, a test for each unit, and a semester exam covering all five units. Each
project uses concepts covered in the unit.

• Unit 1: Determine theoretical and experimental probabilities using probability rules and determine if two
  events are independent.
• Unit 2: Identify mutually exclusive and non-mutually exclusive events, determine binomial probabilities, and
  calculate expected value.
• Unit 3: Use permutations and combinations to calculate probabilities and apply the properties of normally
  distributed data.
• Unit 4: Understand the central limit theorem, determine confidence intervals, and use hypothesis testing to
  compare proportions and means, and to determine the relationship between categorical variables.
• Unit 5: Distinguish between parametric and non-parametric statistics and apply these concepts to examine
  topics including health science and market research.