Refer to the following information to answer questions $1-4$: Consider a family of classifiers based on flipping a coin with

Coin$=$Head$)=$

such that we assign a label

if the coin lands on $$Head$$ and

if the coin lands on $$Tail$,$ independent of the value of the input

$.$ Assume the prior probabilities to be

and

$.$

What is the expected number of false positives of the classifier

as a function of

$,$

$,$ and

$?$ Remember that the total number of points in your dataset is indicated by

$.$