Assignment Unit 4 1. Differentiate between: a) a sample

Assignment Unit 4 1. Differentiate between: a) a sample space and an event. b) permutations and combinations using examples. c) discrete and continuous random variables. [15 marks] 2. In the recent municipal election in Vista voting statistics were as follows: Status Voted A Did not vote A Totals Male B 204 156 360 Female B 156 234 390 Totals 360 390 750 Calculate (show your work): a) P(A and B) b) P(A or B) c) P(B/A) [15 marks] 3. Assume a binomial experiment in the following questions. Find the probability: a) of exactly 5 successes where n = 7 and p = 0.5. b) of between 8 and 12 successes where n = 15 and p = 0.7. c) of at least 8 successes where n = 12 and p = 0.5. [15 marks] 4. For z as the standard normal variable find the probabilities for randomly selected values of z as follows (show your work): a) P(1.09 210) b) P(170