(a)Smoking is detrimental to health. The following shows the years of smoking and life expectancy at the age of 40 for 5 female employees working at Ernst & Young.

(a) Smoking is detrimental to health. The following shows the years of smoking and life expectancy at the age of 40 for 5 female employees working at Ernst & Young. Employee & Anne Lena Ying Hyuna Sasha xi BT 6 21 1 14 yi 66 74 67 82 63 Treating the data as a sample, compute Sxy and rxy. (2 marks) (ii) Treating the data as the population, compute oxy and pxy. (2 marks) (b) The following table shows the probability of male and female customers coming to EB Game Hornsby branch who purchase either PC games or console (non-PC) games. Gaming platform chosen by customers Male gamers Female gamers Total PC games 0.54 0.17 a Console games 0.23 0.05 b Total C d e (i) Complete the table by computing a, b, c, d and e. (2 marks) (ii) The branch manager Charlotte insists that the event "platforms on which games run" and the event "genders" are independent. Do you think these events are independent? Show. (1 mark) (iii) Compute the probability P(gender=female]platform=console) and P(platform=P.Clgender=male)