A simple way to estimate the probabilities above is by counting how many times each eventoccurs in the training data. LetNbe the total number of spam emails,Nthe numberssjof spam emails in which wordjoccurs,Nthe total number of ham emails, andNthehhjnumber of ham emails in which wordjoccurs. We then setNN-NsjssjP(X= 1|Y=S) =,P(X= 0|Y=S) = 1-P(X= 1|Y=S) =,ijiijiijiNNssNN-NhjhhjP(X= 1|Y=H) =,P(X= 0|Y=H) = 1-P(X= 1|Y=H) =.ijiijiijiNNhhWrite Python code to compute these probabilities using data intr