Answer:
86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
![P(B|A) = \frac{P(A \cap B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
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.
Compute the probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.
In this problem, we have that:
Event A: Completing their degree there.
There is a 34.72% chance of a student interested in a nursing degree not making it through the program.
So 100 - 34.72% = 65.28% = 0.6528 probability of completing their degree. So P(A) = 0.6528.
Event B: Getting hired
86.74% chance of getting hired full time in a hospital setting within 6 months of graduation.
Completing their degree and getting hired:
![P(A \cap B) = 0.6528*0.8674](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.6528%2A0.8674)
Probability:
![P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.6528*0.8674}{0.6528} = 0.8674](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D%20%3D%20%5Cfrac%7B0.6528%2A0.8674%7D%7B0.6528%7D%20%3D%200.8674)
86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.