STAT 310: Math Stats II

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.

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 concept of assortative mating through an eye-color study of 204 Scandinavian couples. Discover how probabilities highlight nonrandom mating patterns. Conclude if eye colors of partners are independent or reveal assortative tendencies.

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 a statistical approach to analyze the claim about average tornado lengths. Understand the nuances of hypothesis testing, from setting null and alternative hypotheses to interpreting P-values. Witness a comprehensive breakdown of the evidence from a sample of 500 tornadoes.