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數學與統計 大學

第二題的d的積分範圍要怎麼設

6 Kx, lo, 14) 1. (10 points) How many even numbers can be formed from the digits 9, 1,4,5,6, and 9 if each digit can be used only once? 2. (50 points) Let X and Y denote the lengths of life, in years, of two components A and B, respectively, ş! x2 in an electronic system. If the joint density function of these variables is 64 0<x<1-ycl EX,Y) Rx hy 0 < x <1.0<x<1-x: f(x, y) = elsewe jey.301-4)*84f CX74 3 Rxdy * 了 1' Jay You Determine the value k; FED ECX) = 86 x 6xci->)dy cy) 3(1-2) ² (b) Find the marginal distributions, expected values, variances, and covariance of X and Y; dy= 1 (C) Determine whether X and Y are dependent or independent; X(d) Find the probability that the length of life of component A is less than that of component B; X(e) Find the probability that the length of life of component A is greater than one year, given the ar length of life of component B is equal to two year. xcy 1313. (10 points) The probability that a flight departs on time is 0.3; the probability that it arrives on time is 0.3; and the probability that it departs and arrives on time is 0.1. Find the probability that it arrives on time, given that it did not depart on time. ex oin 4. (20 points) The waiting time, in hours, between successive speeders spotted by a radar unit is a continuous random variable with cumulative distribution -8x76 / le = 1- e 11-e dx x ZO; dv=e 0, f(x) = f'(X) = x < 0. 8 e V= 1 84 (a) Find the probability of waiting less than 10 minutes between successive speeders; hind the wyerane waiting time between successiye speeders spotted by a radar unit. 013-0il u=X -8X -81 -8% ge

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數學與統計 大學

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)

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數學與統計 大學

嗯...不會統計更不會英文統計 有人可以教嗎🥺

Homework #1 TabletPC Comparison providesawide variety ofinformation abouttablet computers. The company's website enables consumers to easily compare different tablets using factors such as cost, type of operating system, display size, battery life, and CPU manufacturer. A sample of 10 tablet computers isshowninTable 1. (1) How many elements are in this data set? (2) How many variables are in this data set? (3) Which variables are categorical and which variables are quantitative? (4) What type of measurement scale is used for each ofthe variables? Table 1 Product Information for 10 Tablet Computers 點 Cost Operating| Display Size | Battery Life」 CPU (9 | System | (inches) (hours) |Manufacturerl AcerIconia W510 599 [Windows| 104 85 Intel Amazon Kindle Fire HD | 299 |「Android 89 9 TI Apple iPad 4 499 | ios 97 1 Apple HP Envy X2 | 860 [Windows| 116 8 Intel Lenovo ThinkPad Tablet| 668 「Windows| 101 105 Intel MicrosoftSurface Pro | 899 「Windows| 106 4 Intel Motorola Droid 530 「Android 1041 9 TIOMAP XYboard Samsung Ativ SmartPC| 590 「Windows| 116 7 Intel Samsung Galaxy Tab 525 「Android 104 10 Nvidia Sony Tablet 5 360 」Android 94 8 Nvidia 寢 For each of the following variables, indicate whether it is quantitative or qualitative and specify the measurement scale that is employed when taking measurements on each: (1 Class standing of the members of this class relative to each other (2) Admitting diagnosis of patients admitted to amental health clinic (3) Weights of babies born inahospital duringayear (4) Gender of babies born inahospital duringayear (5) Range of motion of elbow joint of students enrolled inauniversity health sciences curriculum (6) Under-arm temperature of day-old infants born inahospital

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數學與統計 大學

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:

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