STAT 512: STAT 512

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 intricacies of calculating probabilities using set theory concepts such as union and intersection. With step-by-step computations, understand how to find the likelihood of events A and B occurring or not occurring together. Witness the application of classic probabilistic formulas.

Explore how hypothesis testing is used to compare a sample mean of Internet visits to the national average. Through calculations and statistical analysis, we determine if a sample of users' web usage significantly deviates from the average U.S. web usage.

Unravel the concept of the "margin of error" within the context of estimating children's exposure to lead-based paint. Through clear explanations, comprehend the importance of acknowledging uncertainty in statistical findings and how it represents a range for potential true values.

Discover how to determine the probability and mean of young adults watching TV in a week. Using provided data, we compare the sample mean with the calculated population mean to interpret expected TV viewing habits.

Uncover the mathematical methods used to determine various probabilities when selecting committees. Utilize combination formulas and probabilities to evaluate different teacher-parent combinations.