CCT226H5 Lecture Notes - Lecture 5: Almost Surely, Sample Space, Random Variable

• School: UTM
• Department: Communication, Culture and Technology
• Course: CCT226H5
• Professor: Gerhard Trippen

Document Summary

= 1: choosing nothing, avoiding problems by division by 0, 1 is a neutral element = has no effect (multiplying by 1 gives same number, ex. Not 4x1x2x3x4, start with 1x2, etc: n! = k(k-1)(k-2) (2)(1: ex. choosing 2 people out of 6 = (6x5)/(1x2) = 3x5 = 15 possible outcomes, typically n should be larger than k, or n!/k!(n-k!, 6!/2! (6-2), 720/2(4), 720/2(24, 720/48, =15. 2 people chosen out of 6 where the order matters: n!/(n-k), 6!/(6-2), 720/24, = 30. Jsl appliances: discrete random variable with a finite number of values, ex. 80 days out of 200 you sold 0 tvs: therefore, probability of selling. =1: must be in between 0 and 1, and add up to 1, therefore ef(x)=1, expected value (mean) of a random variable is its central location, e(x) =u=exf(x, ex. The experiment consists of a sequence of n identical trials: 2.