Worked problems Expected Grade 1 2 3 Below 3 Yes 0.06 0.12 0.02 No 0.13 0.21 0.26 0.08 (b) Find the probability that a randomly chosen student from this class worked on additional problems (b) 32% (c) Find the probability that a randomly chosen student from this class expects a 1. (c) 25% (d) What are the chances of expecting a 2.0, if the student never worked on additional prob- lems? (d) 18.75% (e) From those students that expect a 1.0, what are the chances that they worked in additional problems? (e) 48% 3. Students in a certain business statistics class were asked what grade they expected in the course and whether they worked on additional problems beyond those assigned by the poor, way underpaid instructor. The following table gives the proportions of students in each of eight joint classifications: (a) Complete the missing information on the table and calculate all marginal probabilities.