1. (15 points) You decide to enroll in two classes at a community college over the summer: a machine learning course and a humanities course. Each course has assignments given on average every 7 days. It takes you on average 1/2 a day to complete an assignment from the humanities course and 1 day to complete an assignment from the machine learning course. Assume you can only work on 1 assignment at a time, that the times between assignments and the time it takes you to complete assignments are exponentially distributed, and that if you are completing an assignment for a given course you will not receive any more assignments for that course until the assignment is completed (you may, however, receive assignments for the other course). Assignments are completed in the order in which they are received. (a) (5 points) Can we analyze this as a birth and death process? Briefly explain your answer. (b) (10 points) Model this as a continuous time Markov chain (CTMC). Clearly define all the states and draw the state transition diagram. 1. (15 points) You decide to enroll in two classes at a community college over the summer: a machine learning course and a humanities course. Each course has assignments given on average every 7 days. It takes you on average 1/2 a day to complete an assignment from the humanities course and 1 day to complete an assignment from the machine learning course. Assume you can only work on 1 assignment at a time, that the times between assignments and the time it takes you to complete assignments are exponentially distributed, and that if you are completing an assignment for a given course you will not receive any more assignments for that course until the assignment is completed (you may, however, receive assignments for the other course). Assignments are completed in the order in which they are received. (a) (5 points) Can we analyze this as a birth and death process? Briefly explain your answer. (b) (10 points) Model this as a continuous time Markov chain (CTMC). Clearly define all the states and draw the state transition diagram