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applications to include topics like: The probability theory of games, gambling, and insurance; stat 241 focuses on probability theory and tends to emphasize mathematical developments more, and stat 238 includes a substantial amount of statistics and computing together with some math. Statistics, like all other branches of mathematics, uses mathematical models to describe phenomena that occur in the real world. One frequent use of this is to save and printavalueallinonego: Lecture notes by stefan waner based on g. g. Roussas a course in mathematical statistics. stat 241 focuses on probability theory and tends to emphasize mathematical developments more, and stat 238 includes a substantial amount of statistics and computing together. introduction to probability theory. Topics include probability spaces, random variables, expectations and probabilities, conditional probability, independence, discrete and. stat 241 review problems. 1 even when things are running smoothly, 5% of the parts produced by a certain manufacturing process are defective. A) if you select 10 parts at.