STAT 5214: Advanced Probability

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.

Explore the mathematical intricacies behind calculating the waiting time for a motorist at traffic lights. Learn about normal random variables, conditional probabilities, and the challenges in determining specific waiting durations.

Discover the principles of permutations with 6 distinct objects. Learn the ins and outs of factorial calculation and its application to combinatorics. Grasp the method to find the number of unique arrangements for any set of items.

Explore Sullivan’s College Algebra homework score analysis, from frequency distribution construction to in-depth statistical calculations such as standard deviation. Discover histogram visualizations, mean and median interpretations, and probability estimations for various score thresholds. Utilize Excel functions for precise calculations.

Discover the process of using a one-sample t-test to validate a claim about average soft drink consumption. By calculating the test statistic and analyzing the corresponding P-value, we determine the validity of the researcher's assertion.

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.