複選題
18. 下列關於地球磁場的敘述，哪些正確？（多選）
(A)地球磁場的日變化是以恆星日為週期
(B) 高緯度地區的磁場日變化較低緯度地區大
(C)這 150 年來地球磁場有減弱的趨勢
(D)磁暴是 指太陽活動旺盛造成太陽磁場劇烈變動的現象
(E)中央氣象署有提供全球地磁擾動指數的資 料。

19. 利用聲納探測海底地形的原理與下列何項探測原理最相似？ (A)地用地震車探測淺層地層分佈 (B)利用震波分析地殼至地核的分層結構 (C)利用人造衛星軌道變化分析海底地形 (D)福衛七號衛星探測大氣的垂直結構 (E)利用雷達回波分析颱風的風力結構。 

20. 下圖為三大洋垂直向的水團分布，圖中白色箭頭代表水團的流向。下列關於此圖與水團的敘述，何者有誤？(A)垂直向的水團分布主要是依照海水的溫度、鹽度性質來辨識的 (B)太平洋 的平均海底深度為較其他二者深 (C)CDW 的密度較大部分的水團大 (D)同樣密度的兩水團經 過混合之後密度會增加 (E)各水團會流經三大洋之後再匯流到表面洋流。

1. A survey of a group’s viewing habits over the last year revealed the followinginformation:(i) 28% watched gymnastics(ii) 29% watched baseball(iii) 19% watched soccer(iv) 14% watched gymnastics and baseball(v) 12% watched baseball and soccer(vi) 10% watched gymnastics and soccer(vii) 8% watched all three sports.Calculate the percentage of the group that watched none of the three sports during the last year.(A) 24%(B) 36%(C) 41%(D) 52%(E) 60%

2. The probability that a visit to a primary care physician’s (PCP) office results in neither lab work nor referral to a specialist is 35%. Of those coming to a PCP’s office, 30% are referred to specialists and 40% require lab work. Calculate the probability that a visit to a PCP’s office results in both lab work and referral to a specialist. (A) 0.05 (B) 0.12 (C) 0.18 (D) 0.25 (E) 0.35

3. You are given P[A∪B]=0.7 and P[A∪B′]=0.9 . Calculate P[A]. (A) 0.2 (B) 0.3 (C) 0.4 (D) 0.6 (E) 0.8

4. An urn contains 10 balls: 4 red and 6 blue. A second urn contains 16 red balls and an unknown number of blue balls. A single ball is drawn from each urn. The probability that both balls are the same color is 0.44. Calculate the number of blue balls in the second urn. (A) 4 (B) 20 (C) 24 (D) 44 (E) 64

5. An auto insurance company has 10,000 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.Calculate the number of the company’s policyholders who are young, female, and single.(A) 280(B) 423(C) 486(D) 880(E) 896

6. A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 210 of the men died from causes related to heart disease. Moreover, 312 of the 937 men had at least one parent who suffered from heart disease, and, of these 312 men, 102 died from causes related to heart disease. Calculate the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease. (A) 0.115 (B) 0.173 (C) 0.224 (D) 0.327 (E) 0.514

7. 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 homeowners policy will renew next year. The company estimates that 80% of policyholders who have both an auto policy and a homeowners 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 homeowners policy, and 15% of policyholders have both an auto policy and a homeowners policy. Using the company’s estimates, calculate the percentage of policyholders that will renew at least one policy next year. (A) 20% (B) 29% (C) 41% (D) 53% (E) 70%

8. Among a large group of patients recovering from shoulder injuries, it is found that 22% visit both a physical therapist and a chiropractor, whereas 12% visit neither of these. The probability that a patient visits a chiropractor exceeds by 0.14 the probability that a patient visits a physical therapist. Calculate the probability that a randomly chosen member of this group visits a physical therapist. (A) 0.26 (B) 0.38 (C) 0.40 (D) 0.48 (E) 0.62

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