SOA Exam P Sample Question 455
Study guide: Exam P-1
Under a health insurance policy, 70% of the policyholders are low-risk and the other 30% are high-risk. For each low-risk policyholder, the number of hospitalizations experienced this year is Poisson-distributed with mean 0.05. For each high-risk policyholder, the number of hospitalizations experienced this year is Poisson-distributed with mean 0.30.
Calculate the probability that a randomly selected policyholder is low-risk, given that the policyholder undergoes no hospitalizations this year.
- A)
0.280 - B)
0.666 - C)
0.700 - D)
0.750 - E)
0.760
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