Question

[ai, write up]

please write the answer in detail, easily, in a formal English, using terms in artificial intelligence. so that I can understand.

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Examine the totally fictional data set here. Presume that this data was collected at Midnight Oil - each line represents one drink that was ordered, and whether it was hot, sweet, and/or caffeinated.

1. Based on this data set, what is your best estimate of P(caff)?
2. What is your best estimate of P(hot | sweet)?
3. Based on this data, do any two of these variables appear to be independent? If so, which two? If not, why not?

This is the dataset.

Hot     Sweet   Caff
T       F       F
F       F       T
F       T       T
T       F       F
T       T       T
F       T       T
F       T       F
T       F       F
F       F       T
F       F       F
F       F       T
F       T       F
T       F       F
F       T       T
T       F       F
T       F       T
F       T       T
T       F       F
T       F       F
F       T       T
T       T       F
T       T       T
F       T       T
T       F       F
T       F       T
F       F       T
T       F       F
F       T       T
F       T       F
F       F       T

Answer 1

A.

B.

C. Here, in the given data...

Caffeinated and sweet are the 2 variables which are independent....

Because...

Sweet is False - when hot is True and when hot is False so that is sweet is false independent of hot's value.

Sweet is True - when hot is False and when hot is True so that sweet is True independent of hot's value.

And

Caffeinated Is False - when sweet is True and when sweet is False so that caffeinated is independent of sweet's value.

Caffeinated is True - when sweet is True and when sweet is False so that caffeinated is independent of sweet's value.