SOA Exam P Sample Question 483
Study guide: Exam P-1
A doctor tests 100 patients for two diseases, A and B. Each patient has probability p of having disease A and probability p of having disease B, with 0 \leq p \leq 0.50.
For each patient, the event of having disease A and the event of having disease B are independent. The test outcomes for different patients are mutually independent.
The variance of the number of patients who have disease A is 9.00.
Calculate the variance of the number of patients who have at least one of the two diseases.
- A)
15.39 - B)
1600 - C)
16.59 - D)
17.19 - E)
18.00
Answer this question and see the worked solution