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 Total
In Favor 1400 280 1680
Opposed 840 3080 3920
Total 2240 3360 5600
A) What is the probability of a randomly selected resident being in favor of the bridge?
B) What is the probability that a randomly selected resident is a woman and is Opposed to the bridge?
C) What is the probability of a randomly selected resident being a woman or Opposed to the bridge?
D) If a randomly selected resident is a female, what is the probability that she 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".