5. Consider a data set consisting of the following variables on several customers of a bank: balance: credit card outstanding balance cleared: whether this balance was cleared in time student: whether the person is a university student income: the income of the person (a) Describe what graphs you would produce to demonstrate how the variables balance, and income affect the likelihood of the person clearing the credit card outstanding balance in time (b) Suppose that when you look at frequencies students tend to clear their outstanding credit card balances in time less often than the rest of the population. But if you focus on people with high outstanding credit card balances, students are more likely to pay in time than the rest of the population. Describe why could this be the case and what graphics you will use to depict that. Marks: 10