Two novel proofs show that the sum of a specific pair of normal random variables is not normal are established in this note. This is one of the most often misunderstood facts by first-year students in probability theory and statistics. The first proof is concise using the moment generating function. The second proof checks whether the moments of…

Terence Mills introduces us to Keynsian probability and discusses its implications for teaching probability. The author considers it unlikely that Keynes's theory would replace how we teach probability, but argues that it may make us think more deeply about the use of terms such as chance and probability when used in our lessons.

The primary objective of this investigation is the formulation of random intercept latent profile transition analysis (RI-LPTA). Our simulation investigation suggests that the election between LPTA and RI-LPTA for examination has negligible impact on the estimation of transition probability parameters when the population parameters are generated…

To explore the differential impact of job automation for different groups of primary and secondary school students, an analysis of variance was conducted using survey data on the occupational aspirations of British school students (aged 7-18) and probability statistics derived from a model of job automation. Results indicated that students aged…

In this article Danielle Marie Greene-Bell and Francis A. Pearman II examine racial disparities in school closures across the United States, with a particular interest in majority Black schools. Using survival analysis and longitudinal data, they find that majority Black schools are far more likely to close than non-majority Black schools and that…