Black Bears (Ursus Americanus) Have a Tendency to Wander Looking

Black bears (Ursus americanus) have a tendency to wander looking for food, and
they have a high level of curiosity. These characteristics will sometimes get them
into trouble when they travel through national parks. When they become "nuisances,"
the Park Service transplants them to other areas if possible. Data on the gender of
transplanted bears and the outcome of the transplant for bears transplanted in Glacier
National Park over a 10-year period are given in the table below. $$\begin{array} { | l | c | c | c | } \hline & \text { Male } & \text { Female } & \text { Totals } \\\hline \text { Successful } & 32 & 17 & 49 \\\hline \text { Returned to capture area } & 34 & 45 & 79 \\\hline \text { Nuisance in another area } & 14 & 4 & 18 \\\hline \text { Killed outside of park } & 3 & 4 & 7 \\\hline \text { Totals } & 83 & 70 & 153 \\\hline\end{array}$$ a) If a bear is randomly selected from the 153 bears in the sample, what is the
probability it is male and became a nuisance in another area after relocation?
b) If a bear is randomly selected from the 153 bears in the sample, what is the
probability that it is female or was successfully transplanted?
c) If a bear is randomly selected from the bears in the sample, what is the probability
that it returned to the capture area, given that it 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 were
observed to be a male, what is the probability it would be enough of a nuisance to
be transplanted?