Quiz 5 Mark: 1'12 Last Name: First Name: Set: PIAVBl:PlAl+P(B)P[AAB] PIAABl:P(A)XPlBlAI PIAAB|:P|Al>

Quiz 5 Last Name: P A+P(B -P P(AAB) First Name: AAB P AAB=PA Mark: (if independent) Set: You are concemed that the incidence of smoking is increasing among young people. You create the table below that shows student ages in the columns and smokers or non-smokers in the rows. Ages 25-29 30 -34 Non-smoker Smoker 18-24 96 24 Total 120 63 7 70 10 0 10 Total 169 31 200 (a) Give an example of two mutually exclusive events in this study. [2 marks] ANSWER: (b) Overall, what percentage of students smoke? Cl mark] ANSWER (Percentage, 2 decimal places): (c) What percentage of 18 to 24 year olds smoke? [2 marks] ANSWER (Percentage, 2 decimal places): (d) Ifa student is 25 years or older, what is the probability he/she is a non-smoker? [2] ANSWER (4 decimal places): (e) You see a student smoking. What is the probability they are under age 30? [2 marks] ANSWER: (t) Does whether or not a student smokes depend on their age? Explain using ONLY your answers to (b) and (c) above. [3 marks]