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# System prepended metadata

title: Lab Inference

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# Lab Inference

When only given 10 pieces of data it is hard to tell the probability of someone's actions, but I can assume that there is a relativally high chance they will go to class, since the only piece of data with the same scenario also goes to class.

## Problem 1:
Pr(X) is unnecessary because when using a argmax calculation because Pr(X) will be constant, all possible outcomes aren't affected when making a comparison.

## Problem 2:
(Early, no, no, yes)
+ Class
$3 \over 10$ * $3 \over 10$ * $3 \over 10$ * $4 \over 10$ = 0.0108

+ No Class
$2 \over 10$ * $3 \over 10$ * $4 \over 10$ * $2 \over 10$ = 0.0048

Went to class

(Late, no, no, no)

+ Class:
$3 \over 10$ * $3 \over 10$ * $3 \over 10$ * $2 \over 10$ = 0.0054


+ No Class
$2 \over 10$ * $3 \over 10$ * $4 \over 10$ * $2 \over 10$ = 0.0048

Went to class



(Early, yes,yes,yes)

+ Class 
$3 \over 10$ * $3 \over 10$ * $3 \over 10$ * $4 \over 10$ = .0108

+ No Class
$2 \over 10$ * $1 \over 10$ * $0 \over 10$ * $2 \over 10$ = 0

Went to class


(Late,yes,no,yes)

+ Class 
$3 \over 10$ * $3 \over 10$ * $3 \over 10$ * $4 \over 10$  = 0.0108

+ No Class
$2 \over 10$ * $1 \over 10$ * $3 \over 10$ * $2 \over 10$ = 0.0012


Went to class