ST 371: Introduction to Probability and Distribution Theory

Discover the trends in car colors for North America in 2011. Break down the percentage distribution of various shades, from dominating whites to the less frequent greens. Understand the best visual techniques to represent this data, weighing the pros and cons of graphs.

Explore a claim from the American Animal Hospital Association that 37% of pet owners communicate with their pets over the phone. Through hypothesis testing and a z-test, evaluate a skeptical veterinarian's doubts. Conclusions shed light on pet owners' unique communication habits.

Unpack the potential biases in a survey about movie-watching habits based on its design and constraints. Learn how limiting to residential phones and specific time frames can affect results. Recommendations are made to ensure a broader, more accurate perspective.

Explore the fascinating world of permutations to determine the number of possible arrangements for a talent show. Learn how constraints change the number of valid sequences and delve into combinatorial techniques.

Discover the mathematical principles behind choosing free samples in online shopping scenarios. Understand combinations, how to calculate them, and see real-world examples of selecting multiple items.

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.