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bazaltina [42]
3 years ago
10

The probability that a student will take loans to pay for their undergraduate education is 0.85, and the probability that a stud

ent will go to graduate school given that the student took loans to pay for their undergraduate education is 0.13. What is the probability that a student will go to graduate school and take loans to pay for their undergraduate education
Mathematics
1 answer:
olganol [36]3 years ago
3 0

Answer:

P(A) =0.85, P(B|A) =0.13

And we want to find this probability: p(A \cap B). If we use the bayes rule we have this:

P(B|A) = \frac{P(A \cap B)}{P(A)}

And if we solve we got:

P(A \cap B) = P(B|A) P(A)

And replacing we got:

P(B|A)= 0.13*0.85 = 0.1105

Step-by-step explanation:

For this case we define the following notation:

A= A student will take loans to pay for their undergraduate education

B|A= A student will go to graduate school given that the student took loans to pay for their undergraduate education

And we have the following probabilities:

P(A) =0.85, P(B|A) =0.13

And we want to find this probability: p(A \cap B). If we use the bayes rule we have this:

P(B|A) = \frac{P(A \cap B)}{P(A)}

And if we solve we got:

P(A \cap B) = P(B|A) P(A)

And replacing we got:

P(B|A)= 0.13*0.85 = 0.1105

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