Statistical Sciences 1024A/B Lecture Notes - Lecture 19: Normal Distribution, Random Variable

• School: Western University
• Department: Statistical Sciences
• Course: Statistical Sciences 1024A/B
• Professor: Xing Jiang

Document Summary

Probability rules: for any event a, 0 p(a) 1, p(a doesn"t occur) = 1 p(a) If a = s, then p(s) = 1. If a and b cannot occur at the same time (mutually exclusive), then p(aorb) = p(a) + p(b) If all possible outcomes are either s1, s2, . , sn, then we have a finite probability model: for example, airline passengers show up distribution, sometimes all possible outcomes could be s1, s2, . , sn: for example, the number of earthquakes occurring within one year, discrete probability mode: either finite outcomes or countable infinite outcomes. If we assign each outcome si to a number, say, x(si), we can deal with x instead of s1, s2, : discrete probability model: s = { s1, s2, .