A survey was recently conducted by the government and an IT organization in order to review the choice of MPF by the members. There were 8000 interviewees in the survey, 4700 of them are male. Among the male, 1300 of them prefer high risk MPF while among the female, 2200 of them prefer high risk MPF. If one person from the survey is selected randomly

(a) what is the probability that the selected person is a woman? (2 marks)

(b) what is the probability that the selected person prefers high risk MPF? (2 marks)

(c) given that the selected person is a female, what is the probability that she prefers high risk MPF? (2 marks)

(d) what is the probability that the person does not select high risk MPF, given that this selected person is a female? (2 marks)

(e) given that the selected person does not prefer high risk MPF, what is probability that the selected person is a male? (2 marks)