" \"\"\""\"\"'" " Tree diagrams for conditional probabllities A course in statistim Is one of the most difcult at the local university. Because of this, for the past decade the university has arranged for ' hold frequent discussion sessions as part of the course. Since the inception of the discussion sessions, 40% of the students enrolled in the meregul attended the sessions. and the other 60% did not. Students regulariy attending the sessions have performed better than those not regularly attending. In particular, 60% of the students regulady attending the sessions received a grade of 'B' or higher In the course While only 30% of the students not regularly attending the smarts received a grade of 'B" or higher In the course. 9 LetD denote the event that a randomly chosen student (enrolled in the course) regularly attended the discussion sessions. and let 1) denote the eventthata randomly chosen student did not regularly attend the discmsion sessions. Let]! denote the event that a randomly chosen student received a grade 0f 3 or higha in the course, and let B denote the event that a randomly chosen student did not receive a grade of 'B" or higher in the course. e Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your raponses. (If necessary. consult a list of formulas.) I (a) ll in the missing probabilities. P(BID)=D \"rnAy-n r'l