SOA Exam P Sample Question 462
Study guide: Exam P-1
Each person in a large population independently has probability p of testing positive for diabetes, 0 < p < 1. People are tested for diabetes, one person at a time, until a test is positive. Individual tests are independent.
Determine the probability that m or fewer people are tested, given that n or fewer people are tested, where 1 \leq m \leq n.
- A)
\dfrac{m}{n} - B)
(1-p)^{m-n} - C)
1 - (1-p)^m - D)
\dfrac{1 - p^m}{1 - p^n} - E)
\dfrac{1 - (1-p)^m}{1 - (1-p)^n}
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