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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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自然科學 大學

求全部詳解,在線等,急QQ(可以部分就好QQ

Pt 謹., 【G@放|中葉生說1 2018-test2-ch26-30 - 訪取0專用 入 圖 器 當數: so=8.85x1072F/m 一、選擇題:每題5分。 1一平行板電容器,若其每板面積為 100 cm?、兩板相距2mm。用 80V 的電池充滿電後,電容上的電荷量為: 0885nc; (8) 177nc;(c)354nc;(0) 708nc (51416nc。 2 南顆電容 G =10uF、G0=20 jiF 串聯後再連接一烽 12 V 的電池。求兩顆踢容總共儲存的能星。 多360p; 480nJ (0) 600nJ; (0) 720 1; (E) 840nJ。 3 一2hF 的平行板電容器,將其連接至 200V 的電池,充滿電後, 不移開。再將介電常數 <=10 的電 介質填滿十板間的空間,則此時電容儲存的艇量為多少?(多005J;(8) 01J;(c) 02J;(D) 04J; 四08 J 4 如右回,電容 帶電 0-8hC,電容 3C不帶電。將開辣閱上,經很久達平衡(此時電流為零)。若C=1hF,則從開始到最終 平衡時,電月R總共消耗的能星為 (8mJ; (8) 12mJ3 (0 16m (0) 20m0; 24nJ。 5 一 吃放電線路 :A=104Q,C=200 hF,電容的初電荷為10 mc。/=0 時,開始放電,則/=2s時,電流為 (人 184mAy 個368mA;(c) 539mA;(D)717mA; (E 904mA2 6一電荷 ?,其骨時速度# = 玉m/s,位於均勻磁場中2-(F+ 縣 245T,則其受力了= (CC2二片絡 (2C244片3 (02C2二中遇 (0)22中片朮(5202中4此嫩 7 一電子(=91x103 kg 7= 1.6x10? 0)以 1.2X10? m/s 的遠率進入一均勻磁場區域內作圓周運動磁場方向與速度方向垂 直, 若磁場大小為 01T,則其財期為 (A 12x1009s7 (8)36x100s; (tc)62x1006s;(0)76x1030s (四97x1009s。 8右圖中立方體的邊長為 40 cm, 電流 /= 10 A, 均勻磁場 52=02T, 則 09 段受到的磁力為: 人(95(症生N (80s(二全N3 (095二生N) (Do9sFN3(ED-95N3 二、計算題 1. Foureapactors are connectedas shownimnFig 1 Take Go 4pnF,人6 @2nF, =2nFande=14V Fmnd (the equivalentcapacitance;(b) the charge on Gi (c) the potentaldifferenceacross @(12仿 2 Forthe Acchargng crcutofFig 24akeA=100kg,c= 2nF,ande=20V heswitchisclosedat/=0.Fnd (a) tme constant tb) he maximum charge and curent (c) the charge on ihe capacftorat/=015(d) hecurentat/015(@ thepowerimthebatteryat/=01s。(20幼 3 Find (a) the currents 4、&and 6; (b) the potental difference between ponts 2and cinFig 3.(15 約 4 圖四的電路,將開關關上,經很久以後,(a)電流 +、/Z各為何 ? (b)電容上的電荷量為何 ? (c) 今將開關打開 ,則經多久後電容 的電荷量為10uC。(12 爺 5 如圖五,兩根通電流的長直導線:4=3Aand&=5A。若 7= 20 cm,求 人點磁場及與吃。(10 分)

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