STA 3033: Introduction to Probability and Statistics for CS

Discover how to construct a confidence interval for understanding U.S. adult satisfaction. Using a sample from a 2010 Gallup Poll, we unveil the proportion of adults pleased with the state of affairs, backed by statistical calculations.

Explore the complexities of two independent Poisson random variables, X1 and X2, with means ?1 = 2 and ?2 = 3. Understand the process of calculating specific event probabilities and the application of the Poisson formula. Key takeaways include the manipulation and interpretation of these statistical values.

Explore the concept of mutually exclusive events in probability, using practical examples like rolling a die, selecting college students, and understanding political party registrations.

Uncover the likelihood of different car combinations by size and color from a dealer's sales data. Learn how to calculate probabilities, from the chances of a small car being black to the odds a non-small car isn't gray. An insightful look into understanding car preferences.

Learn how to determine a 90% confidence interval for the proportion of people who watch educational television based on a survey. Understand how to utilize the z-score and interpret results, guiding decisions for a television company's publicity efforts.

Explore the claim that average daily water consumption is 123 gallons. Using statistical testing, we evaluate a new sample against the Old Farmer’s Almanac claim. Learn how to interpret p-values and t-scores in hypothesis testing.