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Black bears (Ursus americanus) have a tendency to wander for food, and they have a high level of curiosity. These characteristics will sometimes get them into trouble when they travel through human-use areas such as parks. When they become "nuisances," the Park Service transplants them if possible to other areas. The outcomes of such transplants in Glacier National Park over a 10-year period are given in the table below:
Transplanted Bear Table
Male
Female
Totals
Successful
32
17
49
Returned to capture area
34
45
79
Nuisance in another area
14
4
18
Killed outside of park
3
7
83
70
153
a) From these data, estimate the probability that a randomly selected transplanted bear would be female or nuisance in another area.
b) After combining the above data with other National Parks, officials estimated that only about 18% of black bears in all parks become enough of a nuisance to be transplanted. They further estimate that 80% of nuisance bears are male, and 55% percent of non-nuisance bears are females. If a randomly selected bear is observed to be a male, what is the probability it will be a nuisance?
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