The following table shows the counts based on 146 agricultural workers in Wyomin

Question

The following table shows the counts based on 146 agricultural workers in Wyoming

Assume a participant is randomly chosen from this study.

a) What is the probability the participant chosen is a Republican? (use 2 decimal places)  

b) What is the probability the participant is a democratic hog rancher? (use 2 decimal places)  

Using the table, the probability 23/74 is best described as what?

a-The probability that the participant is a hog rancher or a republican

b-The probability that the participant is a republican given that they are a hog rancher

c-The probability that the participant is a Republican

d-The probability that you guess this question correctly

e-The probability that the participant is a hog rancher given that they are a republican

Corn Farmer Hog Rancher Nursery Owner Total Republican 25 23 26 74 Democrat 9 20 25 54 Independent 5 7 6 18 Total 39 50 57 146

Explanation / Answer

A) The probability that the participant randomly choosen is a Republican is 74/146

B) Probability that the participant is a democratic hog rancher is 20/146. Since there are 20 democratic hog rancher out of 146 people.

C) Given probability is 23/74.

So 74 is the total no of republicians and 23 is the no of hog ranchers among those 74 republicans.

So it is the probability that the participant is a hog rancher given that they are a republican.

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