94. A fair die is rolled repeatedly. Let X be the number of rolls needed to obtain a 5 and Y the number of rolls needed to obtain a 6.
Calculate E(X | Y = 2).
(A) 5.0
(B) 5.2
(C) 6.0
(D) 6.6
(E) 6.8

95. A driver and a passenger are in a car accident. Each of them independently has probability 0.3 of being hospitalized. When a hospitalization occurs, the loss is uniformly distributed on [0, 1]. When two hospitalizations occur, the losses are independent. Calculate the expected number of people in the car who are hospitalized, given that the total loss due to hospitalizations from the accident is less than 1. (A) 0.510 (B) 0.534 (C) 0.600 (D) 0.628 (E) 0.800

96. Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. Calculate the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes. (A) 2 (B) 3 (C) 4 (D) 5 (E) 6

97. Thirty items are arranged in a 6-by-5 array as shown.  Calculate the number of ways to form a set of three distinct items such that no two of the selected items are in the same row or same column. (A) 200 (B) 760 (C) 1200 (D) 4560 (E) 7200

98. An auto insurance company is implementing a new bonus system. In each month, if a policyholder does not have an accident, he or she will receive a cash-back bonus of 5 from the insurer. Among the 1,000 policyholders of the auto insurance company, 400 are classified as lowrisk drivers and 600 are classified as high-risk drivers. In each month, the probability of zero accidents for high-risk drivers is 0.80 and the probability of zero accidents for low-risk drivers is 0.90. Calculate the expected bonus payment from the insurer to the 1000 policyholders in one year. (A) 48,000 (B) 50,400 (C) 51,000 (D) 54,000 (E) 60,000

99. The probability that a member of a certain class of homeowners with liability and property coverage will file a liability claim is 0.04, and the probability that a member of this class will file a property claim is 0.10. The probability that a member of this class will file a liability claim but not a property claim is 0.01. Calculate the probability that a randomly selected member of this class of homeowners will not file a claim of either type. (A) 0.850 (B) 0.860 (C) 0.864 (D) 0.870 (E) 0.890

100. A survey of 100 TV viewers revealed that over the last year:i) 34 watched CBS.ii) 15 watched NBC.iii) 10 watched ABC.iv) 7 watched CBS and NBC.v) 6 watched CBS and ABC.vi) 5 watched NBC and ABC.vii) 4 watched CBS, NBC, and ABC.viii) 18 watched HGTV, and of these, none watched CBS, NBC, or ABC.Calculate how many of the 100 TV viewers did not watch any of the four channels (CBS,NBC, ABC or HGTV).(A) 1(B) 37(C) 45(D) 55(E) 82

1. 「北回歸線」(A)東部海岸國家風景區(B)花東縱谷國家風景區(C)以上皆是。

2. 下列何者為東部海岸國家風景區景點正確組合(A)和南寺、合流(B)芭崎瞭望 台、掃叭遺址(C)芝波蘭島、蕃薯寮。

3. 宜蘭運動公園位於宜蘭市區緊臨何道路(A)台2號省道(B)台7號省道(C)中山路2 段。

4. 宜蘭市宜蘭轉運站今位於宜蘭市何路段上(A)中山路3段(B)健康路3段(C)校舍 路。

112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 251-319#119927

112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 201-250#119925

112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 151-200#119924

112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 101-150#119921

112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 51-100#119910

112年 - SOCIETY OF ACTUARIES_EXAM P PROBABILITY_EXAM P SAMPLE QUESTIONS 1-50#119899