Problem $1$:

The table below includes a training data set, containing the record ID and the inputs: Age, Income, Student, and Credit Rating, in addition to the target variable: Buys Computer. Using the first $10$ records and Na$$ve Bayes algorithm, classify the $11$th record. Your computations are done by hand. You may refer to the PowerPoint pertaining to Na$$ve Bayes algorithm.

Record ID Age Income Student Credit Rating Buys Computer

$1$ Youth High No Fair No

$2$ Youth High No Excellent No

$3$ Middle Aged High No Fair Yes

$4$ Senior Medium No Fair Yes

$5$ Senior Low Yes Fair Yes

$6$ Senior Low Yes Excellent No

$7$ Middle Aged Low Yes Excellent Yes

$8$ Youth Medium No Fair No

$9$ Youth Low Yes Fair Yes

$10$ Senior Medium Yes Fair Yes

$11$ Youth Medium Yes Excellent $?$

Problem $2$:

Use the first $10$ records of the table above and C&RT algorithm to find the optimal split that will be used for the root node. Computations are done by hand. You may refer to the PowerPoint pertaining to CART.