CASE STUDY CHALLENGE
Probability: Pandemic Health Data Analysis
Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health, and 100 had a poor health record.
Categories Defined:
- • A1: People with good health
- • A2: People with average health
- • A3: People with poor health
During a pandemic, the data expressed that the chances of people contracting the disease from categories A1, A2, and A3 are 25%, 35%, and 50% respectively.
Answer the following:
| (i) | A person was tested randomly. What is the probability that he/she has contracted the disease? | [2] |
| (ii) | Given that the person has not contracted the disease, what is the probability that the person is from category A2? | [2] |