An auto insurance company has 10000 policyholders. Each policyholder is classified as
i) young or old;
ii) male or female; and
iii) married or single.
Of these policyholders, 3000 are young, 4600 are male, and 7000 are married. The policyholders can also be classified as 1320 young males, 3010 married males, and 1400 young married persons. Finally, 600 of the policyholders are young married males.
How many of the company's policyholders are young, female and single?
Probability Problem
2006-11-03 7:29 pm
回答 (3)
2006-11-03 7:45 pm
✔ 最佳答案
Young = 3000 and Young Male = 1320. Therefore, Young Female = 3000-1320 = 1680
Young Married = 1400 and Young Married Male = 600,
Therefore, Young Married Female = 1400 - 600 = 800
Young Female = 1680 and Young Married Female = 800
Therefore, Young Single Female = 1680-800 = 880
2006-11-03 7:42 pm
Solution: Let Y, F, S,M stand for young, female, single, male, respectively, and
let Ma stand for married. We have
card(Y \ F \ S) = card(Y \ F) − card(Y \ F \ Ma)
= card(Y) − card(Y \M)
−(card(Y \ Ma) − card(Y \ Ma \M))
= 3000 − 1320 − (1400 − 600)
= 880.
let Ma stand for married. We have
card(Y \ F \ S) = card(Y \ F) − card(Y \ F \ Ma)
= card(Y) − card(Y \M)
−(card(Y \ Ma) − card(Y \ Ma \M))
= 3000 − 1320 − (1400 − 600)
= 880.
2006-11-03 7:35 pm
do it yourself
收錄日期: 2021-04-12 18:12:15
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