1. 已知兩人各自抵達 的時間是隨機的並均勻的分佈在約定的一小時內，請問兩人當晚在壽克斯小路見面的機率是多少？
(A) 1/18
(B) 1/9
(C) 1/3
(D) 2/9
(E) 5/18

2. 承上題，假設完治願意放下身段，且兩人說好各自最多等十分鐘，請問兩人當晚會在壽克 斯小路見面的機率，與原先的方案相比，孰高孰低？ (A) 見面的機率比原先方案來得高 (B) 見面的機率比原先方案來得低 (C) 見面的機率與原先方案相同

3. 承 1 題，莉香的情敵里美得知此消息，於是想出計策試圖讓完治無法去赴約，假設她計 策成功的機率是 0.2，請問按照原先的約定，莉香與完治會在壽克斯小路見面的機率是多少？ (A) 2/45 (B) 1/9 (C) 2/9 (D) 4/15 (E) 以上皆非

4. Consider the linear regression model:. hhe data set is. After fitting these data into this model, you obtained the linear system which is denoted by Y = Xβ +ε. Which of the following is   NOT hRUE  ?(A) (B) If x2 = 2x1, then we have infinite solutions for the normal equations.(C) Follow the least square criterion, we have the residuals. hhe sum of residuals must be zero.(D) If you add new independent variable xm+1 into the original linear regression model,i.e. , then the coefficient of determination won’t decrease.

Problem 20. The number of collisions at sea in a year is Poisson distributed. Thus, the length of time between collisions follows:(A) a Poisson distribution also.(B) a normal distribution.(C) an exponential distribution.(D) a Bernoulli distribution.(E) None of the above.

Problem 19. Suppose a simple random sample of n=2 homes is to be selected from this population of five homes. Which of the following statements concerning this sampling procedure is correct?(A) The resulting sample mean will be identical to the population mean.(B) The sampling procedure guarantees that the sample will not be comprised of two houses immediately next to one another on the cul-de-sac.(C) Homes with larger property taxes are relatively more likely to be selected than are homes with smaller property taxes.(D) The sample mean property taxes paid, X, is certain to be no larger than $547.5.(E) None of the above.

Problem 18. The population variance is:(A) 24.9(B) 50.0(C) 2,490.0(D) 3,112.5(E) 12,450.0

Problem 17. The population mean is:(A) 500(B) 520(C) 567(D) 625(E) the population mean cannot be determined from the information given.

Problem 16. What is the coefficient of correlation between X and Y?(A) 0(B) 0.047(C) 0.250(D) 0.375(E) 0.500

Problem 15. What is σ²{T}, where T is defined as the difference between X and Y； that is, T=X-Y.(A) 14.0(B) 20.0(C) 23.0(D) 26.0(E) Cannot determine without additional information.

Problem 14. What is E{T}, where T is defined as the difference between X and Y； that is, T=X-Y.(A)-20.0(B) 0.0(C) 20.0(D) 45.0(E)14.0

113年 - 113 國立臺灣大學_碩士班招生考試：工程統計#119664

112年 - 112 國立臺灣大學_碩士班招生考試試題：工程統計#119662

111年 - 111 國立臺灣科技大學_碩士班招生試題：統計學(C)#120895

110年 - 110 國立陽明交通大學_碩士班考試入學試題：統計學#121574

110年 - 110 國立臺灣科技大學_碩士班招生試題_企業管理系：統計學#111322

110年 - 110 國立臺灣大學_碩士班招生考試_部分系所:統計學(H)#111297

110年 - 110 國立政治大學_碩士班暨碩士在職專班招生考試_財政所:統計學#110890

110年 - 110 國立高雄科技大學_碩士班招生考試_工業工程與管理系：統計學#110420

110年 - 110 國立政治大學_碩士班招生考試_財政研究所:統計學#107983

110年 - 110 國立政治大學_碩士班招生考試_ 國際經營與貿易學系:統計學#106074