1. A small town has 5600 residents. The residents in the town were asked whether or not they favored building a new bridge across the river. You are given the following information on the residents’ responses, broken down by gender:Men Women TotalIn Favor 1400 280 1680Opposed 840 3080 3920Total 2240 3360 5600A) What is the probability of a randomly selected resident being in opposed to the bridge?B) What is the probability that a randomly selected resident is a man and is Opposed to the bridge?C) What is the probability of a randomly selected resident being a man or Opposed to the bridge?D) If a randomly selected resident is a man, what is the probability that he is in favor of the bridge?E) Are gender and opinion about the bridge mutually exclusive events? Why?F) Are gender and opinion about the bridge independent events? Why? Show some “proof”.