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1. A small town has 5600 residents. The residents in the town were asked whether or...

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Basic Math

1. A small town has 5600 residents. The residents in the townwere asked whether or not they favored building a new bridge acrossthe river. You are given the following information on theresidents' responses, broken down by gender: Men Women Total InFavor 1400 280 1680 Opposed 840 3080 3920 Total 2240 3360 5600 A)What is the probability of a randomly selected resident being aMan? B) What is the probability that a randomly selected residentis a Man and is Opposed to the bridge? C) What is the probabilityof a randomly selected resident being a Woman or Opposed to thebridge? D) If a randomly selected resident is a Man, what is theprobability that he is Opposed to the bridge? E) Are gender andopinion about the bridge mutually exclusive events? Why? F) Aregender and opinion about the bridge independent events? Why? Showsome "proof" with probabilities. 2. How many Combinations of 3students can be selected from a group of 9 students? 3. Describethe Sample Space for the experiment of selecting one card from adeck of regular playing cards?

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