Respuesta :
Using conditional probability, it is found that there is a 0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
What is Conditional Probability?
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
- P(B|A) is the probability of event B happening, given that A happened.
- [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are:
- Event A: Student made the honor roll.
- Event B: Student has perfect attendance.
The probabilities are given by:
[tex]P(A) = 0.48, P(A \cap B) = 0.25[/tex]
Hence the conditional probability is given by:
[tex]P(B|A) = \frac{0.25}{0.48} = 0.521[/tex]
0.521 = 52.1% probability that they have perfect attendance, given they made he honor roll.
More can be learned about conditional probability at https://brainly.com/question/14398287
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