Question 1019805
<pre><font face = "consolas" color = "indigo" size = 4><b>
Hi  
Nice Chart!
          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 opposed to the bridge? P = 3920/5600
 B) What is the probability that a randomly selected resident is a man and is Opposed to the bridge? P = 840/5600
 C) What is the probability of a randomly selected resident being a man or Opposed to the bridge? 
P(A or B) = P(A) + P(B) - P(A and B)
P = (3920 - 840)/5600
 D) If a randomly selected resident is a man, what is the probability that he is in favor of the bridge? 
P(A|B) = P(A and B)/P(B) Bayes Theorem
     P =  (1400/5600) /(2240/5600) = 1400/2240
 E) Are gender and opinion about the bridge mutually exclusive events? NO Why? 
Mutually Exclusive: can't happen at the same time
 F) Are gender and opinion about the bridge independent events? NO 
Why? that A occurs <u>does affect</u> the probability of B occurring
independent: that A occurs does not affect the probability of B occurring.

Show some "proof" 
% of men opposing (840/2240)*100=%men  is less than (3080/3360)*100=%women