Table $5$: Probability of observing particular values of

hat$(x{)}_2,$hat$(x{)}_4,$ and $y.$

Question $10.$ Consider the Sound Classification

dataset from Table $1.$ Suppose the attributes have been

binarized such that hat$(x{)}_2=0$ corresponds to $x_2-0\mathrm{.}405$

$($and otherwise hat$(x{)}_2=1)$ and hat$(x{)}_4=0$ corresponds to

$x_4-0\mathrm{.}456($and otherwise hat$(x{)}_4=1).$ Suppose the

probability for each of the configurations of hat$(x{)}_2,$hat$(x{)}_4$ and

$y$ are as given in Table $5.$

What is then the probability $y$ corresponds to

Machine given an observation has hat$(x{)}_2=1?$