STAT 1051 Lecture Notes - Lecture 7: Sample Space, Thrice

• School: GWU
• Department: Statistics
• Course: STAT 1051
• Professor: Balaji, S

Document Summary

Stat 1051 lecture 6 chapter 3 (september 17, 2018) Study of randomness and uncertainty (numerical measure of chance %: experimental probability, subjective probability, theoretical probability . Law of large numbers: frequency of an outcome approces the actual probability. Experiment is repeated average number of times, then the relative. Process that yields a single outcome that can"t be predicted. All sample point probabilities must kile between 0 and 1. Probabilities of all the sample points within the sample space must add up to 1. Steps for calculating probability: list outcomes in the sample space, s, s=(e1,e2,e3 , assign probabilities to all outcomes in s. Identify the outcomes in the event a: a={e1,e2ek, the p(a) = p(e1)+p(e2)+ p(ek) P(s)= p(a) + p(b) + p(c) + p(d) + p(e) = 1. 0. 1 + 0. 1 + 0. 25 + 0. 15 + x = 1 x=0. 4 = p(e: find p(a) where a = {a,b,e} 0. 1 + 0. 1 + 0. 4 = 0. 6: find p(b) where b= {c,d}