Question 4 (10 marks) Casino Windsor conducts surveys to determine the opinions of its customers. Among other questions, respondents are asked the question 'what is your overall impression of Casino Windsor?'. The possible responses are: Excellent, Good, Average and poor. Additionally, the gender of the respondent is also noted. 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 customers rate Casino Windsor as excellent? (2 Marks) b. Determine the probability that a male customer rates Casino Windsor as excellent. (3 Marks) c. Find the probability that a customer who rates Casino Windsor as excellent as excellent is a man (3 Marks) d. Are gender and rating independents? Explain your answer. (2 Marks)