Enroll in Probability and Statistics with Dolphin STEM Academy

Course Overview

Probability and Statistics is a mathematics course that teaches two related, but
distinguishable disciplines. Probability is the study of the likelihood that an event will
occur. For example, what is the likelihood that you will win a writing contest if there are
3,000 entries? What are the chances that you will land that lead role in the school play if
30 students audition? In statistics, you will practice the science of collecting and
analyzing numerical data in order to make decisions. The study of statistics upholds that
of probability. You’ve likely worked with both disciplines to varying degrees during your
math education.

In this course, you will represent and interpret data using dot plots, histograms, box
plots, two-way frequency tables, and scatter plots. You will study normal distributions
and distinguish between correlation and causation. You will also determine the
conditional probability of two events or whether the events are independent. Using
counting techniques and the rules of probability, you will calculate probabilities and use
the results to make educated and fair decisions. You will evaluate several data
collection techniques and statistical models, including simulations. The course closes
with information on how you can use probability models to represent situations arising in
everyday life that involve both payoff and risk.

Course Goals

By the end of this course, you will be able to do the following:
Summarize, represent, and interpret data on a single count or measurement variable.
Summarize, represent, and interpret data on two categorical and quantitative variables.
Interpret linear models.
Understand independence and conditional probability and use them to interpret data.
Use the rules of probability to compute probabilities of compound events in a uniform
probability model.
Use probability to evaluate outcomes of decisions.
Understand and evaluate random processes underlying statistical experiments.
Make inferences and justify conclusions from sample surveys, experiments, and
observational studies.
Calculate expected values and use them to solve problems.