A pоpulаtiоn census оf business students аt Evаshevski University resulted in the following data regarding whether the student came from in-state or out of state, and their selected majors. Management Marketing Finance In-state 45 69 60 Out of state 33 51 42 (Provide all answers to 2 decimal places) (1) What is the probability of a student majoring in management? [mgmt] (2) What is the probability of a student being from in-state or a marketing major? [InMktg] (3) What is the probability of an out of state student and a finance major? [OutFin] (4) The management department is trying to increase enrollment from out of state students by providing tuition stipends; given that a student is from out of state, what is the probability the student is majoring in management? [MgmtGOut] (5) Sixty-nine (69) high school students have been accepted into the incoming class of business students next year. Use statistical inference to predict the number of in-state students majoring in marketing next year. [SI]