1. Breakout Rooms Among 24 students in a Zoom meeting, there are six each of freshmen, sophomores, juniors, and seniors. The 24 students are split at random into four breakout rooms of six students each. a) What is the distribution of the number of freshmen in Breakout Room 1? Why? b]: What is the joint distn'bution of the numbers of freshmen in Breakout Rooms 1 and 4? Why? [Note: You don't have to write out a joint distribution table. Amore compact way is to provide a formula. Remember to specify the possible values appropriately] o) What is the chance that in at least one ofthe breakout rooms all the students are in the same year? Explain your calculation