ht $t$ is 0.8 given
    that the student got enough sleep the previous night, and 0.3
    if not.<br />

-   The probability of having red eyes is 0.2 if the student got enough
    sleep, and 0.7 if not.<br />

-   The probability of sleeping in class is 0.1 if the student got
    enough sleep, and 0.3 if not.<br />

Formulate this information as a dynamic Bayesian network that the
professor could use to filter or predict from a sequence of
observations. Then reformulate it as a hidden Markov model that has