STAT 2122: Intro to Prob & STAT

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 steps to conduct a two-sample t-test using a control and supplemented group. Through hypothesis testing, standard deviation, and P-value interpretation, we analyze the means of both groups to determine statistical differences.

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 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.

Discover the method to analyze bacteria colonies in Lake Macatawa's east basin. Using 30 samples, we compute a 90% confidence interval for the mean colony count. Learn the steps of statistical analysis in environmental studies.