need answer. A small town has 5600 residents. The residents in the town were ask

Question

need answer.

A small town has 5600 residents. The residents in the town were asked whether or not they building a new bridge across the river. You are given the following on the resident's responses, broken down by gender: What is the probability of a randomly selected residence being is Favor of the bridge? What is the probability that a randomly selected resident is a man and in Favor of the bridge? What is the probability of a randomly selected resident being a man or in favor of the bridge? If a randomly selected resident is a female. What is the probability that she is in favor of the bridge? Are gender and counion about the bridge the bridge exclusive ? Why?

Explanation / Answer

total population =5600

number of people in favour =1680

a) hence probabilty of a random individual to be in favour =1680/5600=0.3

b)total people who are men and in favour =1400

hence probabilty =1400/5600=0.25

c) total number of people men or in favour =2240+280=2520

hence probability =2520/5600=0.45

d)total 280 women out of 3360 are in favour of bridge

hence probability =280/3360=0.0833

e)no as Probabilty(man and in favour) =0.25 which is not eual to 0. for mututally exclusive two events must not contain any value or their intersection probabilty =0 or P(AnB)=0

f)No; as P(in favour|Women)=0.0833 ; which is not equal to P(in favour) which is 0.3

for two events to be independent P(A|B)=P(A) which is not satisfied as above.

pls revert if any doubt is there

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