Answer:
27.27% of the students with scolarship are seniors.
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.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has scolarship
Event B: Is a senior
15% are senior, and of those, 40% have scolarship. So
Probability of a scolarship:
15% of 40%(seniors)
30% of 25%(juniors)
20% of 25%(sophmores).
10% of 35%(freshmen). So
Percentage:
0.2727*100 = 27.27%
27.27% of the students with scolarship are seniors.