Mathematics 1228A/B Midterm: Math 1228 Fall 2016 Test 2 Solution

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

Document Summary

If a and b are events de ned on some sample space s, with p r[a] = . 4, p r[b] = . 6 and. Solution: we just need to partition p r[a]. P r[a] = p r[a b] + p r[a bc] p r[a bc] = p r[a] p r[a b] = . 4 . 25 = . 15. [ 1 mark ] when a particular experiment is performed, event e occurs with probability . 6, event f occurs with probability . 3, and the probability is . 2 that these 2 events occur together. Find the probability that at least one, but not both, of events e and f will occur. Solution: we are told that p r[e] = . 6, p r[f ] = . 3 and p r[e f ] = . 2. Having at least one of e and f occur is the event e f .