FRM 定量分析习题测评(一):An insurance company estimates that...

An insurance company estimates that 40%of policyholders who have only an auto policy will renew next year,and 60%of policyholders who have only a homeowner policy will renew next year.
 
The company estimates that 80%of policyholders who have both an auto and a homeowner policy will renew at least one of those policies next year.Company records show that 65%of policyholders have an auto policy,
 
50%of policyholders have a homeowner policy,and 15%of policyholders have both an auto and a homeowner policy.Using the company's estimates,what is the percentage of policyholders that will renew at least one policy next year?
 
A.20%
 
B.29%
 
C.41%
 
D.53%

----------------------------------------------------------我-是--萌--萌--的--分--割--线----------------------------------------------------------

Answer:D
Explanation:Let:
 
A=event that a policyholder has an auto policy
 
H=event that a policyholder has a homeowners policy Then,based on the information given:
Therefore,the proportion of policyholders that will renew at least one policy is shown below:
声明丨本文由FRM考试网(frm.gaodun.cn)精编整理,未经许可不得随意转载或引用。