rofessor observes whether the students
sleep in class, and whether they have red eyes. The professor has the
following domain theory:<br>

-   The prior probability of getting enough sleep, with no observations,
    is 0.7.<br>

-   The probability of getting enough sleep on night $t$ 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 sle