以下是心統的題幹與問題 想請問第以下兩題是否有計算錯誤？

1. Any of you who have listened to children tell stories will recognize that, unlike adults, they tend to recall stories as a sequence of actions rather than as an overall plot. Their descriptions of a movie are filled with the phrase "and then...." An experimenter with supreme patience asked 50 children to tell her about a given movie. Among other variables, she counted the number of "and then..." statements, which is the dependent variable. The data follow: 18 15 22 19 18 17 18 20 17 12 16 16 17 21 23 18 20 21 20 20 15 18 17 19 20 23 22 10 17 19 19 21 20 18 18 24 11 19 31 16 17 15 19 20 18 18 40 18 19 16 簡單翻譯:心理學家請小孩描述電影情節,並記錄他們使用「然後」的次數,50 位小孩的次數 如上。

大一公衛系微積分，求第二題解

公衛系 微積分期末考 (28/12/2018) 1. Use the Laplace transform to solve the differential equations. (1) j(t)+2y(t) = x(t), y(0)=1, x(t)=10, t20 (20) (2) Intravenous glucose is a treatment. Disposed at a fixed rate k grams per minute inputs into the blood, while blood glucose will be converted to other substances or moved to another place, at a rate proportional to the amount of glucose in the blood, the proportionality constant is a (a> 0), the initial amount of glucose in the blood is M. A. Find the variation in the amount of glucose in the blood (15) B. Determining the equilibrium, the amount of glucose in the blood. (5) = 2. SI Epidemic Model : The size of the population, n+1, remains fixed. Let i(t) be the number of infectives at time t, and let s(t) be the number of individuals who are susceptible. Given an initial number of infectives iO), we would like to know what will happen to i(t). SI Epidemic Model is described by the differential equation. di(t) = k·i(t).s(t) ......(5.1) dt i(t)+s(t)=n+1 i(0)=i, (1) Solve this differential equation of the SI Epidemic Model (5.1). (10 h) (2) What is the peak times t of the epidemic spread? (10) 3. Consider the Two-compartment physiological models and is shown in figure 1. C1 (t) represent the drug concentration in the first compartment and C2 (t) represents the drug concentration in the second compartment. Vi and V2 represent the compartment volume. Use the first order linear differential equation general solution to solve the C1 (t) (20 ) and use the Laplace transform to solve C2 (t). 【20 分). | 世」!()

數學/統計學/共變異數/相關係數 想請問一下題目上的第三題要如何求算ಥ_ಥ （網路上查到的題型都是實數對實數，這裡是給一個範圍⋯而且求的是開架跟天數而不是兩區的差別） 附上上課給的範例嗚嗚嗚 麻煩了ಥ_ಥ謝謝各位

Question 2 (125) V2 某家位於美國中部小鎮之小型房地產仲介,現想瞭解物件自委託到買賣成立所需的時間。該 公司分析近近三年來成交的 800 筆資料,整理如下表。 成交所需天數 30 天以內 31-90 天 90 天以上 總和 $150,000 以下 50 40 10 100 6 6:125 $150,000-$199,999 20 150 開價 80 250 0,3125 $200,000-$250,000 20 280 100 400 05 $250,000 以上 10 30 10 50 總和 100 500 200 800 如果該公司簽下委賣合約,開價在$150,000 以下,則成交天數在90 天以下的機率 為何? b. 如果事件 A表示成交所需天數在90天以上,事件B表示開價在$150,000 以下, 請問事件A與B 是否為獨立事件?試說明之。 C. 假設該公司將800 筆數據又細分為東區及西區(兩區房價分佈相似),並統計在售價 區間的平均銷售天數,其結果呈現如下表。試算共變異數及相關系數,說明開價與平 均銷售天數有甚麼關係。 平均銷售成所需天數 0,0625 a. 東區 西區 PC62 37 42 54 66 開價 $150,000 以下 $150,000-$199,999 $200,000-$250,000 $250,000 以上 71 82 46 50 出S(新) 法制度信天名之戈登发 才有哪 and AND cing 0 .action 2 (104)

33題，有人可以幫我列算式就好嗎 是波氏分配（卜瓦松分配）題目

CHMAPTER 6 smen er replacem es, muff plecitlons w 1r 同 the numper oftransmissf sen0C7 polsson 昌關 dmwpute 4 o Shop. The! te dett Ave/lino's Aut 字 ee 3 stributlon le butlon ls the an summary, the Polsson dis 呈ty dlstob n summar OP 4 needed to construct a Poiss 4 on aa random variable, desl9! errors, or other r: ellhood t 的 elikeli nedthejkelJncoo 同 on nsurance Company ge 1 polic surar From actuary taples, Washington 2 gten nsurance aty 』 age 25 wi qie within the next year is pay ity they wi 25-year-ojg men this year' whatis the probabilty 3 JjnaPoisson distributionn 三0.4 a. What is the probapility thatx三0 b. What is the probability thatx > 0? 32. 全a Poisson distributionh 二4 a. What is the probapbility thatx 三 2? b. What js the probapbiljty thatx 生 2? f experience, c. What js the probability thatx> 2? m her years ol 還 officer at Coast Bank and Trust. Fro ble to repay 9 inot bea she estimates that the probability is .025 that an applicant wi hs or her jnstajiment loan. Last month she made 40 1 父 What js the probability that three loans will be 和 sfaulted? 紀 What js the probability that at least three loans will be del tthe rate oftwo per Automobijles arrive at the Elkhart exit ofthe Indiana Tol 同 ibution minute. Tne distribution of arrivals approximates a Poisson distri 了人 a.- What is fhe Probabifity that no automopbiles arrive in a particular uiar Pp. what js fhe Propabjlity that at least one automobile arrives during mrnute? 5 站5 estimated that 0.5% ofthe Callers to the Customer Service department of Dell Jnc. wil receive a busy signal. whatis the probability that oftoday's 1,200 callers at reast 5 received a Pbusy signal? 。 生如e past schools jn Los Angeles Couni year for weafher enmergencies. What is 1 Counfy wi close for 4 days next year? 24 ty have closed an average of 3 days each he probability that schools in Los Angeles opapjlity distribution js a !ting apjjty associated wjth each Out( discrete propapjjity distribution can aSsume only certain values. The main features are: _The sum offhes probabilties is 1.00. The probapijlity ofa particular outcome is between 0.00 and 1.00. Jheoutcomes are mutually exclusive. ontinuous djsfribution can assume an jmfnite number ofvalues within a speecsi iean and variance ofa probability distribution are Computed as follows, mean js equalto: Come- ific rang variance js egqual to:

第五題d小題為何是這樣?不是0.1x100000000嗎？

由 生卻人 人 ve frequency table to sumrnmarize tnis busir 5 travelers are asked which midwestern city they -ago, or Milwaukee. One hundred iiked india- napolis best, 450 liked Saint Louis, 1,300O liked Chicago, and tne remainder pre- ferred Milwaukee Develop a frequency table and arelative frequency table to summarize this information. 同 wastone Inc. produces and markets replacement covers for cell phones in five different colors: bright white, metallic black, magnetic lime, tangerine orange, and 呈 fusion red. To estimate the demand for each color, the company set up a kiosk in 時 了he Mall of America for several hours and asked randomly setected peoplie which 涉 Cover color was their favorite. The results follow: !2s ! 1 35相 是 (ro W5 | 上292eo Ma 歷講折 a. What is the table caled?+reder引 ab p. Draw abar chart forthe table- c.。 Drawapie chart. 9239 2 (d 放Wellstone Inc. plans to produce 1 mi each color should tt produce? 。 Asmall business consultant is investi The fourth-quarter sales for last ye | panies were: :