[6 marks] Answer the following questions as True or False. Provide a justification for each of your answers. a) [2 marks] The chi-square statistic is used to determine independence between two quantitative variables. b) [2 marks] Correlation is used to predict the relationship between the dependent and independent variable. c) [2 marks] The probability distribution of a gambling game is given by the following table, where X is the amount won ($), and f(x) is the probability of winning. The expected value of the amount won for this game is $7.50. X f (x) $200 0.1 -$50 0.2 $25 0.7