SECTION A: Maths and Statistics (20 marks) Question 1 (10 marks) The CEO of Clean Energy Lid, a major energy company, conducts a survey to determine the opinions of her company's customers. Among other questions, respondents are asked to give opinions about their overall impression of Clean Energy Ltd. The available response options are; Excellent; Good; Average; Poor In addition, the gender of the respondents are noted in the survey. After analysing the results, the following table of joint probabilities was produced; Rating Women Men Excellent 0.27 0.22 Good 0.14 0.10 Average 0.06 0.12 Poor 0.03 0.06 a) What proportion of customers rate Clean Energy Lid as excellent? (2 marks) b) Determine the probability that a male customer rates Clean Energy Ltd as excellent? (4 marks) c) Find the probability that a customer who rates Clean Energy Ltd as excellent is a man. (4 marks)