Respuesta :
Answer:
There is a 55.97% that a male can find a full time job in his chosen profession.
Step-by-step explanation:
We have these following probabilities:
A 60% probability that a college graduates cannot find a full time job in their chosen profession.
A 40% probability that a college graduates can find a full time job in their chosen profession.
57% of the college graduates who cannot find a job are female
43% of the college graduates who cannot find a job are male
18% of the college graduates who can find a job are female
82% of the college who can find a job are male.
Given a male college graduate, find the probability he can find a full time job in his chosen profession?
The total males are 43% of 60%(Those who cannot find a job) and 82% of 40%(Those who can find a job). So the percentage of males is [tex]P(M) = 0.43*0.60 + 0.82*0.40 = 0.586[/tex]
Those who are males and find a job in their chosen profession are 82% of 40%. So [tex]P(M \cap J) = 0.82*0.40 = 0.328[/tex]
[tex]P = \frac{P(M \cap J)}{P(M)} = \frac{0.328}{0.586} = 0.5597[/tex]
There is a 55.97% that a male can find a full time job in his chosen profession.
