Probability Question?
2020-08-21 12:47 pm
Of the people who apply for executive positions, those with a university degree have 0.33 chance of eventually being successful, while those without have 0.17 chance. If 78% of all applicants for a job have a university degree, find the probability that the successful applicant does not have one.
回答 (2)
2020-08-21 3:54 pm
✔ 最佳答案
p = (successes, no degree) / (total successes)p = 0.22⋅0.17 / (0.78⋅0.33 + 0.22⋅0.17)
p = 0.1269
btw the other answer here at the time of writing effectively gives the probability that a randomly chosen candidate will be successful and has no degree. Whereas the question is restricted to successful candidates.
2020-08-21 2:17 pm
S: successful applicant
D: applicant with a university degree
D': applicant without a university degree
P(D) = 78% = 0.78
P(D') = 1 - 0.78 = 0.22
Those without a university degree have 0.17 chance of eventually being successful:
P(S|D') = 0.17
P(S and D') / P(D') = 0.17
P(S and D') / 0.22 = 0.17
P(S and D') = 0.0374
P(the successful applicant does not have a university degee)
= P(S and D')
= 0.0374
D: applicant with a university degree
D': applicant without a university degree
P(D) = 78% = 0.78
P(D') = 1 - 0.78 = 0.22
Those without a university degree have 0.17 chance of eventually being successful:
P(S|D') = 0.17
P(S and D') / P(D') = 0.17
P(S and D') / 0.22 = 0.17
P(S and D') = 0.0374
P(the successful applicant does not have a university degee)
= P(S and D')
= 0.0374
收錄日期: 2021-04-24 07:57:24
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20200821044737AApXy1A