Mathematics 1228A/B Study Guide - Midterm Guide: Selenium, Mutual Exclusivity, Bernoulli Trial

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

Document Summary

[ 1 mark ] let e be any event de ned on any sample space. Solution: we know that a probability must always be a number between 0 and 1 inclusive. 1(cid:1) = n, while in general (cid:0)n less than 0 or more than 1 is not a probability. [ 1 mark ] if p r[a b] = 0. 3 and p r[ac b] = 0. 4, nd p r[bc]. Solution: we rst nd p r[b] and then use that to nd p r[bc]: P r[b] = p r[a b] + p r[ac b] = 0. 3 + 0. 4 = 0. 7 so p r[bc] = 1 p r[b] = 1 0. 7 = 0. 3. [ 1 mark ] s = {a, b, c, d, e} is a sample space on which two events are de ned: e = {a, b} and f = {d, e}. If p r[e] = 3p r[f ] and p r[c] = 0. 2, nd p r[e].