SOLUTION: 60% of all the town's residents own a dog and 65% own a cat. Of the dog owners 44% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where pos

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Question 1199638: 60% of all the town's residents own a dog and 65% own a cat. Of the dog owners 44% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible)
a. P(Own a Dog) =
b. P(Own a Cat) =
c. P(Own a Cat and a Dog) =
d. P(Own a Dog GIVEN Own a Cat) =

Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
60% of all the town's residents own a dog and 65% own a cat.
Of the dog owners 44% also own a cat.
If a town resident is chosen at random find: (round to 4 decimal places where possible) 

a. P(Own a Dog) = 60% = 0.6.


b. P(Own a Cat) = 65% = 0.65.


c. P(Own a Cat and a Dog) = 0.6*0.44 = 0.264 = 26.4%.


d. P(Own a Dog GIVEN Own a Cat) = P(own both)/P(own a Cat) =  = 0.4062 = 40.62%.

Solved/answered.



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