A professor wants to know if students are getting enough sleep. Each day, the professor observes whether the students sleep in class, and whether they have red eyes. The professor has the following domain theory:

• The prior probability of getting enough sleep, with no observations, is 0.7.

• 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.

• The probability of having red eyes is 0.2 if the student got enough sleep, and 0.7 if not.

• The probability of sleeping in class is 0.1 if the student got enough sleep, and 0.3 if not.

Question

Computers and Technology

Isabella Hahn

27 December, 10:42

A professor wants to know if students are getting enough sleep. Each day, the professor observes whether the students sleep in class, and whether they have red eyes. The professor has the following domain theory:

• The prior probability of getting enough sleep, with no observations, is 0.7.

• 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.

• The probability of having red eyes is 0.2 if the student got enough sleep, and 0.7 if not.

• The probability of sleeping in class is 0.1 if the student got enough sleep, and 0.3 if not.

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Vance Spencer · Answer 1

Each day, the professor observes whether the students sleep in class, and whether they have red eyes. The professor has the following domain theory: • The prior probability of getting enough sleep, with ... The probability of having red eyes if the student did not get enough sleep. • The probability of sleeping in class is if the ...