28. 計程車駕駛人執業登記證因逾期查驗超過6個月以上被廢止執業登記,未滿多久不得辦理執業 登記
(A)6個月
(B)1年
(C)2年。

29. 汽車行駛高速公路及快速公路,車輛行駛於設有爬坡道之長陡坡路段,其時速低於最低速限時, 除有特殊狀況外,應行駛何車道,並禁止變換車道(A)外側車道(B)中線車道(C)爬坡道。

30. 標線為白色菱形劃設於車道,表示何種意義(A)讓路線(B)車種專用車道標線(C)指向線。

51. An auto insurance company insures an automobile worth 15,000 for one year under a policy with a 1,000 deductible. During the policy year there is a 0.04 chance of partial damage to the car and a 0.02 chance of a total loss of the car. If there is partial damage to the car, the amount X of damage (in thousands) follows a distribution with density function Calculate the expected claim payment. (A) 320 (B) 328 (C) 352 (D) 380 (E) 540

52. An insurance company’s monthly claims are modeled by a continuous, positive random variable X, whose probability density function is proportional to  for 0 ＜ x＜∞  . Calculate the company’s expected monthly claims. (A) 1/6 (B) 1/3 (C) 1/2 (D) 1 (E) 3

53. An insurance policy is written to cover a loss, X, where X has a uniform distribution on [0, 1000]. The policy has a deductible, d, and the expected payment under the policy is 25% of what it would be with no deductible. Calculate d. (A) 250 (B) 375 (C) 500 (D) 625 (E) 750

54. An insurer's annual weather-related loss, X, is a random variable with density functionCalculate the difference between the 30th and 70th percentiles of X. (A) 35 (B) 93 (C) 124 (D) 231 (E) 298

55. A recent study indicates that the annual cost of maintaining and repairing a car in a town in Ontario averages 200 with a variance of 260. A tax of 20% is introduced on all items associated with the maintenance and repair of cars (i.e., everything is made 20% more expensive). Calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced. (A) 208 (B) 260 (C) 270 (D) 312 (E) 374

56. A random variable X has the cumulative distribution function Calculate the variance of X. (A) 7/72 (B) 1/8 (C) 5/36 (D) 4/3 (E) 23/12

57. The warranty on a machine specifies that it will be replaced at failure or age 4, whichever occurs first. The machine’s age at failure, X, has density function Let Y be the age of the machine at the time of replacement. Calculate the variance of Y. (A) 1.3 (B) 1.4 (C) 1.7 (D) 2.1 (E) 7.5

58. A probability distribution of the claim sizes for an auto insurance policy is given in the table below:  Calculate the percentage of claims that are within one standard deviation of the mean claim size. (A) 45% (B) 55% (C) 68% (D) 85% (E) 100%

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