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mmelody5
29.10.2019 •
Mathematics
In the legal eagle law firm, 68% of the lawyers are male while 32% are female. of the male lawyers, 44% are corporate lawyers and 56% are non-corporate lawyers. of the female lawyers, 29% are corporate lawyers and 71% are non-corporate lawyers. if a lawyer is chosen at random and they are not a corporate lawyer, calculate the probability that they are female. give your answer as a decimal to 2 decimal places. probability = submit answers bookmark
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Ответ:
If a lawyer is chosen at random and they are not a corporate lawyer, there is a 37.37% probability that they are female.
Step-by-step explanation:
In this problem, we have these following probabilities:
A 68% probability that the lawyer is male.
A 32% probability that the lawyer is female.
If he is a male, a 44% probability that he is a corporate lawyer and a 56% probability that he is not a corporate lawyer.
If she is female, a 29% probability that she is a corporate lawyer and a 71% probability that she is not a corporate lawyer.
If a lawyer is chosen at random and they are not a corporate lawyer, calculate the probability that they are female.
This is the probability that a lawyer is female and a non corporate lawyer divided by the probability that a lawyer is not a corporate lawyer.
Probability that a lawyer is a non-corporate lawyer.
68% of the lawyers are male. Of those, 56% are non corporate.
32% of the lawyers are female. Of those, 71% are non corporate.
So:
Probability that a lawyer is a female and non-corporate:
32% of the lawyers are female. Of those, 71% are non corporate.
Finally
If a lawyer is chosen at random and they are not a corporate lawyer, there is a 37.37% probability that they are female.
Ответ:
are you gonna add back
Step-by-step explanation: