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veerdenz8373
30.07.2021 •
Mathematics
Of all the people applying for a certain job 75% are qualified and 25% are not. The personnel manager claims that she approves qualified people 80% of the time, she approves unqualified people 30% of the time. Find the probability that a person is qualified if he or she was approved by the manager The probability is:. Type an integer or decimal rounded to four decimal places as needed)
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Ответ:
The probability is: 0.8889.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
P(A) is the probability of A happening.
In this question:
Event A: Approved
Event B: Qualified
Probability of a person being approved:
80% of 75%(qualified)
30% of 25%(not qualified). So
Probability of a person being approved and being qualified:
80% of 75%, so:
Find the probability that a person is qualified if he or she was approved by the manager.
The probability is: 0.8889.
Ответ:
First Option
Step-by-step explanation:
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