Due Date: Due Wed May 28, 1:30pm in class or through the online dropbox.
A. [5pts] Model this employment process as a Markov chain.
B. [5pts] If you start out employed, what is the probability of being employed at step three? Show all of your work.
B. [5pts] If you are unemployed at time 3, what is the probability that you started out employed at time 1
C. [5pts] What is the stationary distribution of the chain you defined?
A. [14pts] Model this problem as a Bayesian network representing a joint distribution over four binary random variables. Since there is more than one possible answer, briefly motivate your choices.
B. [6pts] Write three independence assumptions that your network encodes.
Consider the above Bayes net.
The variables are boolean and describe aspects of a court trail. They indicate whether someone broke an election law (B), was indicted (I), whether the prosecutor was politically motivated (M), if the person was found guilty (G), and if they were ultimately put in jail (J).
A. [9pts] Which of the following are true:
C. [3pts] What is P(j,i,g | ¬m)?