(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

18

6

21

1

14

66

74

67

82

63

(i)Treating the data as a sample, computeand. (2 marks)

(ii)Treating the data as the population, computeand. (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

Console games

0.23

0.05

Total

(i)Complete the table by computing,,,and. (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 probabilityP(gender=female|platform=console)and P(platform=PC|gender=male)

Question 2: (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. (i) Treating the data as a sample, compute Sxy and Txy. (2 marks) (ii) Treating the data as the population, compute an 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 PCgames or console (non-PC} games. Gaming platform chosen by customers -_- I__ Console games _E__ m__ ('1) 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=fgmglgjpmm=consolel and P(platform=nggQg;=malel