Question 3 (12 marks) A recent survey explored differences between those banking on-line and those who don't bank online. Suppose the survey was based on 200 respondents who bank on-line and 400 respondents who don't bank on-line. Among 200 respondents who bank on-line, 50% of them pay bills by mail. Among 400 respondents who don't bank on-line, 74% of them pay bills by mail. The percentages that uses the other services are given below. Suppose that a respondent is chosen at random. What is the probability that he or she (a) pay bills by mail? ( 2 marks) (b) pay bills by mail or banks on-line? (4 marks) (c) Suppose a randomly selected respondent uses an ATM. What is the probability that he or she banks on-line? (3 marks) (d) Is the banking service "pay bills by mail" statistically independent of whether or not the respondent banks on-line? Explain. ( 3 marks) Question 3 (12 marks) A recent survey explored differences between those banking on-line and those who don't bank online. Suppose the survey was based on 200 respondents who bank on-line and 400 respondents who don't bank on-line. Among 200 respondents who bank on-line, 50% of them pay bills by mail. Among 400 respondents who don't bank on-line, 74% of them pay bills by mail. The percentages that uses the other services are given below. Suppose that a respondent is chosen at random. What is the probability that he or she (a) pay bills by mail? ( 2 marks) (b) pay bills by mail or banks on-line? (4 marks) (c) Suppose a randomly selected respondent uses an ATM. What is the probability that he or she banks on-line? (3 marks) (d) Is the banking service "pay bills by mail" statistically independent of whether or not the respondent banks on-line? Explain. ( 3 marks)