and classify the tuple = X(age "young". Income = "medium", student = "yes" and credit - rating = "fair")

Let $c_1$ $\rightarrow$ buys-comp = "yes"

$c_2$ $\rightarrow$ buys - comp = "xs"

1. calculate class probabilities

p (1) = 9/4

p (2) = 5/14

1. calculate p ( $c_1$ | x) = p (x| $c_1$) . p ($c_1$)

p (x | $c_1$) = $\frac{\gamma}{11} p (xk | c_1)$

$\therefore$ p ($x_1 | c_1)$ p (age = "young" / $c_1$)

= 2/9

p ($x_2/ c_1)$ = p (income = "med" / $c_1$)

= 4/9

p (x3 / $c_1$) = p (student = "yes" / $c_1$)

= 6/9

p (x4 / $c_1)$ = p ( c.r. = "fair" | $c_1$)

$\therefore$ 0 (x|$c_1$) = 2/9 4/9 6/9 6/9

$\therefore$ p ($c_1$/ x) = 2/9 4/9 6/9 6/9 9/14

= 0.0282

1. Calculate p ($c_2 /x) = p( x| c_2) , p (c_2)$

p (x | $c_2) = \frac{\gamma}{11} p (x_k | c_2)$

k = 1

$\therefore$ p ($x_1 / c_2)$ = p ( age = "young" / $c_2$)

= 3/6

$p (x_2 / c_2 = p (income = " " / c_2 $)

= 2/6

$p ( x_3 / c_2)$ = p (student = "yes" / $c_2)$

= 1/6

p ($x_4 / c_2 $) = p $(c_1$ = "fair" / $c_2$)

= 2/6

$\therefore$ p (x / $c_2$)

= 3/1 2/0 1/6 2/6

$\therefore$ p ( $c_2$ / x) = 3/6 2/6 1/6 2/6 6/14

= 0.0036

$\because$ p ($c_1$ / x) > p ($c_2$/ x)

X E C,

$\therefore$ x E bays - comp = "yes"