Q$2)$ Assume that you have a data consisting of x$1,$ x$2,...,$ xm where each xi represent a

single real value, which means you have m instances in data and each instance has a single

real$-$valued attribute. Assume also that the given data has a random uniform distribution

between $$w and w$.$ You are expected to find the maximum likelihood estimate of w with

respect to the given data.

a$)$ Specify a likelihood function F$($w$).$

b$)$ Specify the maximum likelihood estimate for w$.$ Consider your answer based on the

likelihood function you state.

c$)$ Assume that this time you are given a labeled data $($xi

$,$ yi$),$ where yi

is $1$ or $0.$ Remember

that a generative classifier will try to model and P$($y$)$ and P$($x$|$y$).$ Define an example

dataset the generative classifier utilizing the model you defined above for each P$($x$|$y$)$

could not perform well on$.$

d$)$ Remember that a discriminative classifier will try to model P$($y$|$x$).$ State whether you

can classify the labeled data given in the previous part using such a discriminative

classifier or not. If your answer is the answer is yes, then please also show what your

suggested classifier looks like