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: a) From these data, estimate the probability that a randomly selected transplanted bear would be male and a nuisance in another area. b) From these data, estimate the probability that a randomly selected transplanted bear would be female or successfully transplanted. c) From these data, estimate the probability that a randomly selected transplanted bear would return to the capture area if she is a female. d) After combining the above data with other National Parks, officials estimated that only about 22% of black bears in all parks become enough of a nuisance to be transplanted. They further estimate that 84% of nuisance bears are male, and fifty 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?

Question

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:  ​ a) From these data, estimate the probability that a randomly selected transplanted bear would be male and a nuisance in another area. b) From these data, estimate the probability that a randomly selected transplanted bear would be female or successfully transplanted. c) From these data, estimate the probability that a randomly selected transplanted bear would return to the capture area if she is a female. d) After combining the above data with other National Parks, officials estimated that only about 22% of black bears in all parks become enough of a nuisance to be transplanted. They further estimate that 84% of nuisance bears are male, and fifty 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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The Answer of 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:  ​ a) From these data, estimate the probability that a randomly selected transplanted bear would be male and a nuisance in another area. b) From these data, estimate the probability that a randomly selected transplanted bear would be female or successfully transplanted. c) From these data, estimate the probability that a randomly selected transplanted bear would return to the capture area if she is a female. d) After combining the above data with other National Parks, officials estimated that only about 22% of black bears in all parks become enough of a nuisance to be transplanted. They further estimate that 84% of nuisance bears are male, and fifty 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?

Black Bears (Ursus Americanus) Have a Tendency to Wander for Food