STAT 4710: Introduction to Mathematical Statistics

Unpack a Seattle-based study on Emergency Department asthma visits using the Poisson distribution. Explore the probability of visit frequencies and derive insights on healthcare patterns. Conclusions provide a statistical overview of asthma-related ED attendance.

Explore the dynamics of Poisson distribution using both theoretical understanding and a practical application related to discovering uranium deposits. With the help of Bayes' formula and parameter adjustments, interpret various probabilities and outcomes for event occurrences.

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.

Understand the process of determining the 94.26% confidence interval for the median weight of "80-pound" bags of water softener pellets using a standard normal table and specified formulas. Additionally, explore the steps to deduce a confidence level of 90.47%.

Explore the calcium concentration in Chautauqua's rainwater from 2010, comparing it to 1990 levels. Using statistical tests, examine normal distribution and determine significant changes. The results provide insights into environmental shifts over two decades.