STAT 1000Q Lecture Notes - Lecture 4: Binomial Coefficient, Sample Space, Almost Surely

• School: UConn
• Department: Statistics
• Course: STAT 1000Q
• Professor: Robert Apruzese

Document Summary

Statistic notes 1000q- lecture #4- chapter 3: probability. The counting rule: 3 step version, easy generalization to >3 steps. Step 1: can be accomplished k1 different ways. Step 2: can be accomplished k2 different ways. Step 2: can be accomplished k3 different ways. Example: 7 ties, 6 sportcoats, 8 dress shirts. Answer outfits: 7 x 6 x 8 = 336. Example 2: you are taking a 20 question multi choice test with 4 possible answers per question. Factorials: denote the product of the integers 1 through n. Sampling without replacement: each member of the population can be selected at most once. Sampling with replacement: once a member is chosen, they get put back in the population and could be chosen again. Ordered sampling: the order in which he sample is drawn matters. Example: (5, 2, 7) is not = (2, 7, 5) Unordered sampling: the order in which the sample is drawn does not matter.