Mathematics 1228A/B Study Guide - Midterm Guide: Fair Coin, Bernoulli Trial, Stochastic Process

• School: Western University
• Department: Mathematics
• Course: Mathematics 1228A/B
• Professor: All

Document Summary

[ 1 mark ] an ordinary six-sided die is tossed once. B: {even number, odd number} c: {6, not a 6} D: {1, 2, neither a 1 nor a 2} e: {2, 4, 6, neither a 2 nor a 4} Solution: to be a sample space, a set must include all possible outcomes, and there must be no overlap be- tween the descriptions. This is true for all the sets except the one which says {2, 4, 6, neither a 2 nor a 4}. Tossing a 6 is included in both 6 and neither a 2 nor a 4 , so there is overlap between these 2 descrip- tions. [ 1 mark ] let e and f be two mutually exclusive events in a sample space s, with p r[e] = 0. 2 and. Solution: since e and f are mutually exclusive, they cannot both happen at the same time.