阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-微積分
>
100年 - 100 淡江大學 轉學考 機率與微積分#55936
>
5. Find the Taylor's expansion of the function f(x) = log(l + x) at x = 0. Please show at least the first four terms of the Taylor’s expansion.
其他申論題
(2) Please explain the relationship among the concepts of limits,continuity, differentiation, and integration. You can use examples for demonstration in your explanation.
#211882
2. If the random variable X is the outcome of throwing a fair dice,then the sample space of X is { 1, 2,3, 4,5, 6}. Please use Riemann-Stieltjes integral to calculate the expectation and variance of X, that is,E[X] andVar[X].
#211883
【已刪除】3. Please find the density function of the new random variable W= | X |,where X is a random variable following the t distribution with n degrees of freedom,and has the following density function :Hint: Γ(m) is the gamma function
#211884
【已刪除】4. Discuss the continuity of the following function, and indicate the points of discontinuity(if any):
#211885
(1)當地冬天低於8度的機率有多大?
#211887
(2)當地冬天的溫度介於20-24度的機率有多大?
#211888
7. (10%)欲硏究學校臨近地區學生套房出租價格行情’今隨機調查其中64戶出租套 房,平均月租金爲3500元,標準差爲1360元。試求該地區學生套房平均月租金 之95 %信賴區間。
#211889
8. (20%)某一保險公司經理宣稱30歲至50歲年齡層之民眾購買人壽保險的比例低 於50%。今隨機自該年齡層之民眾抽訪300位,其中135位有購買人壽保險,試 以p-value.法檢定該保險公司經理的宣稱是否正確?
#211890
【已刪除】9. (15%)硏究消費者居住地區對某產品四種品牌的偏好程度是否有差異,自北區、 南區分別抽出200人、300人,其品牌選擇人數如下: 試以顯著水準0.05檢定北區、南區消費者對品牌的偏好是否有差異?
#211891
(1)試完成該變異數分析表中(a)~(e)項。
#211892