I need help step by step solving the problem using the bayes formula.

positive, what Is 35. Political Polls In conducting a political poll, a pollster divides the United States into four sections: Northeast (M), containing 40% of the population; South (S), con- taining 10% of the population; Midwest (M), containing 25% of the population; and West (W), containing 25% of the population. From the poll it is found that in the next election 40% of the people in the Northeast say they will vote for Republicans, in the South 56% will vote Repub- lican, in the Midwest 48% will vote Republican, and in the West 52% will vote Republican. What is the proba- bility that a person chosen at random will vote Republic can? Assuming a person votes Republican, what is the probability that he or she is from the Northeast