07 Office hours 3 Points Prof. Stoyanov's office hours can get quite crowded on Wednesdays, especially during the late fall and early spring, where she also has students coming in who want letters of recommendation. This spring, she has three kinds of students - from stat 88. from stat 131A, and those who not in these courses, but want to talk about other things. She observes that number of stat 88 students have a Poisson(8) distribution, the number of Stat 131A students have a Poisson (3) distribution, and students wanting letters of recommendation have a Poisson (1) distribution. You may assume that the number of students from 88, 131A, and wanting letters are all independent of each other. 07.1 Spots and chairs 2 Points Prof. Stoyanov has 8 chairs in her office for students. What is the chance that there will be students who arrive to office hours but are not able to sit? (All the chairs are occupied when they arrive, but no one is standing.) 07.2 Those stat 131A students 1 Point What is the probability that she arrives at her office to nd students waiting, but no stat 131A students, even though they have an assignment due that night. You may upload your answer, or type it in the space below