Q2 Evil TA 8 Points An evil TA is proposing a new grading scheme for CSE 312: The final grade will only come from PSets, and that a student passes the course if and only if they get full points for at least 4 out of 5 PSets. Assume the student's scores across the psets are independent of each other. For the following questions, assume that the probability that each student can score full marks on a PSet is 0.60. Q2.4 1 Point What is Var(X)? Give your answer to one decimal place (e.g. 3.1). Hint: What is the formula for the variance of a binomial? Can read it off from the notes/slides! Enter your answer here Save Answer Q2.5 2 Points What is the probability that a student passes the course? Give your answer to 5 decimal places, with the leading zero (e.g. 0.00312) Recall a student passes the course if they get full marks on (at least) 4 out of 5 psets. Hint: Use the binomial PMF and sum two of the values :). It's similar to the defective computer example! Enter your answer here Save Answer Q2.6 2 Points Suppose that there are 10 students in the entire CSE 312 class. What is the probability that at least three students pass the course? Round your answer to 5 decimal places, with the leading zero (e.g. 0.00312) Hint: Use your answer from the previous sub-question as p in yet ANOTHER binomial distribution! What is n in this case? See the exercise(s) in the notes for an example! Enter your answer here Save