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Olivia Zhang · 2024年04月09日

本题的计算器使用

NO.PZ2023091601000003

问题如下:

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?

选项:

A.

20%

B.

29%

C.

41%

D.

53%

解释:

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:

P (A and H) = 0.15

P (A and Hc) = P (A) – P (A and H) = 0.65 – 0.15 = 0.5

P (AC and H) = P (H) – P (A and H) = 0.5 – 0.15 = 0.35

Therefore, the proportion of policyholders that will renew at least one policy is shown below:

0.4 * P (A and Hc) + 0.6 * P (Ac and H) + 0.8 * P (A and H) = 0.4 * 0.5 + 0.6 * 0.35 + 0.8 * 0.15 = 0.53

用计算器算40%x50%+35%x60%时,在第一个乘法算是计算为0.2后,继续按+,( ,35, % x, 60, % ) 计算器没有理会括号,直接得出0.242,实际应为0.41,请问如何用计算器算百分号形式的数字的混合运算。

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已采纳答案

品职答疑小助手雍 · 2024年04月09日

同学你好,不建议用百分号放在计算器里运算,直接输入0.35和0.6即可。

品职答疑小助手雍 · 2024年04月13日

没事,考试总有些习惯和细节注意了可以提升精确度,但是每个人习惯不一样总结出来也不同,只能做题过程中积累经验。

Olivia Zhang · 2024年04月13日

抱歉点错了,评论反了,好像改不了,太抱歉了。

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