[10 marks] Miffy conducted a convenience survey for her next tic-toc video on music genre and its influence on people's preference in wine. She collected data from all the places her mother visited comparing the influences of music: French, Italian and No Music and its relationship to whether people preferred French, Italian or Australian wine. The sample data collected is summarised in the table below. Wine Preferee French None French 30 39 30 99 Italian 19 31 Australian 13 35 35 113 Total 84 75 84 243 (a) (2 marks) What is the probability a person buys french wine? [Include an appropriate probability statement.] (b) (2 marks) What is the probability a person prefers french music and prefers Australian wine? [Include an appropriate probability statement.] (c) (6 marks) Determine whether someone's Wine Preference and listening to french music are statistically independent. Provide all calculations that support your answer. Based on the probabilities calculated, is there a preferred wine when listening to french music? [include appropriate probability statements.)