Answer Happy

Please help to solve this probability problem. The numbers on
the line (excluding the question numbers like 1. 2. 3.) are the
final correct answers (for this question, the correct answers are
20.73, 145.56 and 19502.37 respectively). Please give
detailed steps to explain how to get the final correct answer.
Thanks!
3. Fill in the blanks This present class consists of: • 31 students in MA2216, • 72 students in ST2131, and • 10 students who are auditing (guests). We gather a group of students by adding one randomly selected student at a time until the group includes 2 auditing students. The random variable Y denotes the total number of students we end up with in this group. E[Y] = 1. 20.73 (2 decimal places) Var(Y) = 2. 145.56 (2 decimal places) E[Y3] = 3. 19502.37 (2 decimal places) = =