CH6 概率分布實驗(隨機(jī)取樣隨機(jī)數(shù)發(fā)生器分位數(shù)正態(tài)分布實驗曲線下面積二項分布實驗泊松分布實(精編)

1、教教師師編編號號1 12 23 34 45 56 67 78 89 9101011111212131314141515教教師師編編號號隨隨機(jī)機(jī)數(shù)數(shù)教教師師編編號號隨隨機(jī)機(jī)數(shù)數(shù)教教師師編編號號隨隨機(jī)機(jī)數(shù)數(shù)1 10 0. .5 50 04 42 22 21 10 0. .9 92 23 32 23 30 0. .0 02 27 72 23701.842 20 0. .5 58 80 03 35 52 20 0. .3 35 56 67 75 50 0. .1 12 29 92 23700.893 30 0. .3 39 93 34 43 33 30 0. .0 02 27 72 27 70 0.

2、.2 20 08 82 23749.4954 40 0. .9 97 71 18 81 14 40 0. .6 69 95 54 49 90 0. .2 25 53 30 03706.2575 50 0. .8 84 43 39 95 55 50 0. .1 12 29 92 214140 0. .3 35 56 61 13651.7886 60 0. .4 46 66 61 18 86 60 0. .5 59 98 86 62 20 0. .3 35 56 67 73708.4057 70 0. .3 33 37 79 910107 70 0. .2 20 08 82 212120 0. .

3、5 59 97 78 83620.7098 80 0. .1 11 13 32 26 68 80 0. .9 96 61 12 26 60 0. .5 59 98 86 63635.8369 90 0. .9 93 33 36 610109 90 0. .2 25 53 30 011110 0. .6 61 12 22 23689.49210100 0. .9 92 22 22 21 110100 0. .7 74 44 43 315150 0. .6 64 49 94 43660.10811110 0. .8 83 33 33 36 611110 0. .6 61 12 22 24 40 0

4、. .6 69 95 54 43768.90512120 0. .4 40 05 58 8101012120 0. .5 59 97 78 810100 0. .7 74 44 43 33787.69713130 0. .3 37 72 28 83 313130 0. .8 85 58 89 913130 0. .8 85 58 89 93673.62514140 0. .5 56 61 10 05 514140 0. .3 35 56 61 11 10 0. .9 92 23 32 23714.63715150 0. .2 21 16 67 72 215150 0. .6 64 49 94

5、48 80 0. .9 96 61 12 23756.878有有放放回回抽抽樣樣：從從1 15 5名名教教師師中中隨隨機(jī)機(jī)區(qū)區(qū)5 5名名參參加加某某項項活活動動。工工具具數(shù)數(shù)據(jù)據(jù)分分析析抽抽樣樣數(shù)數(shù)據(jù)據(jù)區(qū)區(qū)域域$ $A A$ $1 1: :$ $A A$ $1 16 6；標(biāo)標(biāo)志志；隨隨機(jī)機(jī)樣樣本本數(shù)數(shù)：5 5輸輸出出區(qū)區(qū)域域確確定定無無放放回回抽抽樣樣：從從1 15 5名名教教師師中中隨隨機(jī)機(jī)區(qū)區(qū)5 5名名參參加加某某項項活活動動。1 1. .將將1 15 5名名教教師師編編號號，事事先先規(guī)規(guī)定定隨隨機(jī)機(jī)數(shù)數(shù)較較小小的的前前5 5名名位位被被選選對對象象。2 2. .用用R RA AN ND

6、D( () )產(chǎn)產(chǎn)生生1 10 0個個隨隨機(jī)機(jī)數(shù)數(shù)3 3. .為為避避免免隨隨機(jī)機(jī)變變化化，復(fù)復(fù)制制數(shù)數(shù)值值粘粘貼貼4 4. .排排序序選選取取前前5 5名名（簡簡單單操操作作：選選中中“隨隨機(jī)機(jī)數(shù)數(shù)”單單擊擊圖圖標(biāo)標(biāo)) )A A130.0716036720.0716036720.9645168680.9645168680.9645168680.9645168680.9645168680.9645168680.9645168680.964516868隨隨機(jī)機(jī)數(shù)數(shù)函函數(shù)數(shù)：均均勻勻分分布布1.RAND()產(chǎn)產(chǎn)生生最最低低0，最最高高1的的均均勻勻分分布布的的隨隨機(jī)機(jī)數(shù)數(shù)（F9改改變變）2.RAN

7、DBETWEEN(1,10)產(chǎn)產(chǎn)生生最最低低1，最最高高10的的均均勻勻分分布布的的隨隨機(jī)機(jī)數(shù)數(shù)3.公公式式“=低低值值+RAND()*(高高值值-低低值值)=RANDBETWEEN(低低值值,高高值值)”正正態(tài)態(tài)分分布布公公式式“=NORMINV(RAND(),均均值值,標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差)=NORMINV(RAND(),3700,50)”產(chǎn)產(chǎn)生生正正態(tài)態(tài)分分布布隨隨機(jī)機(jī)數(shù)數(shù)二二項項分分布布公公式式“=CRITBINOM(試試驗驗次次數(shù)數(shù),成成功功概概率率,臨臨界界值值)表表示示=CRITBINOM(20,0.7,RAND()”產(chǎn)產(chǎn)生生二二項項分分布布隨隨機(jī)機(jī)數(shù)數(shù)二二項項分分布布數(shù)數(shù)據(jù)據(jù)說說明明6

8、伯伯努努利利試試驗驗次次數(shù)數(shù)0.5每每次次試試驗驗成成功功的的概概率率0.75臨臨界界值值公公式式 說說明明（結(jié)結(jié)果果）: :=CRITBINOM(6,0.5,0.75)=4 返返回回累累積積二二項項式式分分布布大大于于等等于于臨臨界界值值的的最最小小值值4有有放放回回抽抽樣樣：從從1 15 5名名教教師師中中隨隨機(jī)機(jī)區(qū)區(qū)5 5名名參參加加某某項項活活動動。工工具具數(shù)數(shù)據(jù)據(jù)分分析析抽抽樣樣數(shù)數(shù)據(jù)據(jù)區(qū)區(qū)域域$ $A A$ $1 1: :$ $A A$ $1 16 6；標(biāo)標(biāo)志志；隨隨機(jī)機(jī)樣樣本本數(shù)數(shù)：5 5輸輸出出區(qū)區(qū)域域確確定定無無放放回回抽抽樣樣：從從1 15 5名名教教師師中中隨隨機(jī)機(jī)區(qū)區(qū)5

9、 5名名參參加加某某項項活活動動。1 1. .將將1 15 5名名教教師師編編號號，事事先先規(guī)規(guī)定定隨隨機(jī)機(jī)數(shù)數(shù)較較小小的的前前5 5名名位位被被選選對對象象。2 2. .用用R RA AN ND D( () )產(chǎn)產(chǎn)生生1 10 0個個隨隨機(jī)機(jī)數(shù)數(shù)3 3. .為為避避免免隨隨機(jī)機(jī)變變化化，復(fù)復(fù)制制數(shù)數(shù)值值粘粘貼貼4 4. .排排序序選選取取前前5 5名名（簡簡單單操操作作：選選中中“隨隨機(jī)機(jī)數(shù)數(shù)”單單擊擊圖圖標(biāo)標(biāo)) )A A第第1 1組組第第2 2組組第第3 3組組第第4 4組組1 1- -0 0. .9 91 18 85 51 1. .1 17 71 18 80 0. .6 63 30 03

10、 30 0. .2 24 48 89 92 2- -0 0. .4 49 99 94 4- -2 2. .7 73 38 89 90 0. .7 77 79 90 0- -0 0. .4 40 08 84 43 3- -1 1. .8 89 98 86 6- -0 0. .8 81 17 73 3- -0 0. .1 15 50 07 7- -0 0. .0 06 62 28 84 40 0. .1 14 43 35 5- -1 1. .4 40 02 29 90 0. .5 56 62 21 1- -0 0. .9 93 38 86 65 5- -0 0. .4 48 80 04 4- -2

11、 2. .1 19 95 54 41 1. .7 73 34 49 9- -0 0. .5 59 97 76 66 60 0. .1 15 57 74 4- -0 0. .1 17 79 97 70 0. .9 94 45 54 40 0. .2 22 23 31 17 7- -1 1. .3 39 95 54 40 0. .9 97 70 04 40 0. .5 55 57 72 20 0. .4 46 67 74 48 8- -0 0. .1 10 07 77 7- -1 1. .1 15 51 14 4- -0 0. .0 05 54 40 00 0. .7 77 79 99 99 91

12、 1. .9 90 00 00 0- -2 2. .0 08 86 66 60 0. .7 79 98 87 72 2. .2 22 26 62 210100 0. .3 38 82 23 3- -1 1. .7 72 23 36 60 0. .6 67 77 77 7- -0 0. .3 31 13 35 5- -2 2. .3 33 39 99 91 12 2- -1 1. .1 19 90 06 69 99 92 2. .2 24 47 76 65 52 2- -0 0. .0 01 13 38 88 85 5- -1 1. .9 94 40 00 08 80 00 0. .1 11 1

13、5 54 42 24 4- -0 0. .4 44 42 27 79 90 0- -0 0. .2 27 74 42 24 42 2- -1 1. .0 03 36 69 96 65 52 2. .2 20 02 22 21 14 40 0. .8 82 23 38 81 11 11 1. .9 90 08 84 42 20 0- -0 0. .0 09 92 28 88 88 81 1. .4 47 73 34 45 52 2- -0 0. .8 86 66 65 56 64 4- -0 0. .0 09 98 84 49 98 80 0. .9 98 89 91 16 69 90 0. .

14、2 24 45 58 83 34 40 0. .9 99 95 59 92 29 9- -0 0. .0 07 73 30 08 82 2- -0 0. .6 66 68 85 52 24 4- -1 1. .1 12 23 30 03 37 70 0. .2 27 77 73 34 41 12 2. .2 21 10 00 07 72 2- -0 0. .1 14 42 25 57 77 70 0. .6 60 03 31 15 59 9- -1 1. .0 01 12 26 65 50 00 0. .8 86 64 41 11 15 5- -0 0. .7 77 77 73 32 29 9

15、1 1. .0 09 97 76 67 74 41 1. .0 07 76 62 26 66 61 1. .0 02 22 20 02 20 0- -0 0. .9 98 83 35 56 68 8- -0 0. .5 57 75 55 58 83 30 0. .0 01 19 92 24 40 0- -0 0. .7 79 97 74 46 61 1- -1 1. .6 61 14 49 92 26 61 1. .1 14 45 57 74 47 7- -0 0. .6 64 49 93 32 24 4- -0 0. .1 14 44 45 51 10 0- -1 1. .1 19 90 0

16、6 69 99 90 0. .1 11 15 54 42 24 42 2. .2 20 02 22 21 14 41 1. .4 47 73 34 45 52 20 0. .2 24 45 58 83 34 4- -1 1. .1 12 23 30 03 37 70 0. .6 60 03 31 15 59 91 1. .0 09 97 76 67 74 4- -0 0. .5 57 75 55 58 83 31 1. .1 14 45 57 74 47 72 2. .2 24 47 76 65 52 2- -0 0. .4 44 42 27 79 90 00 0. .8 82 23 38 8

17、1 11 1- -0 0. .8 86 66 65 56 64 40 0. .9 99 95 59 92 29 90 0. .2 27 77 73 34 41 1- -1 1. .0 01 12 26 65 50 01 1. .0 07 76 62 26 66 60 0. .0 01 19 92 24 40 0- -0 0. .6 64 49 93 32 24 4- -0 0. .0 01 13 38 88 85 5- -0 0. .2 27 74 42 24 42 21 1. .9 90 08 84 42 20 0- -0 0. .0 09 98 84 49 98 8- -0 0. .0 0

18、7 73 30 08 82 22 2. .2 21 10 00 07 72 20 0. .8 86 64 41 11 15 51 1. .0 02 22 20 02 20 0- -0 0. .7 79 97 74 46 61 1- -0 0. .1 14 44 45 51 10 0-2.339911589-1.940079528-1.614926077-1.190699095-1.123037237-1.036964932-1.012649591-0.983568498-0.866564278-0.797460871-0.777329205-0.668524081-0.649323511-0.

19、575582817-0.442789769-0.274242211-0.144509613-0.142576937-0.098498276-0.092887831-0.073082447-0.0138845730.019240360.1154239730.2458341440.2773413140.6031586960.8238112060.8641154640.9891687110.9959285311.022019661.0762664721.0976737031.1457473191.4734519031.9084200182.2022140912.2100721252.24765244

20、6自自動動生生成成4 4組組變變量量，每每組組1 10 0個個隨隨機(jī)機(jī)數(shù)數(shù)：4組變量每組10個量自自動動生生成成4 4組組變變量量，每每組組1 10 0個個隨隨機(jī)機(jī)數(shù)數(shù)：1.9599642.3909490639. 2)24,05. 0 ()24(05. 0= = =TINVt雙雙96. 1)975. 0 (MORMSINVZ21= = =- -下下a a0639. 2)24,05. 0 ()24(05. 0= = =TINVt雙雙96. 1)975. 0 (MORMSINVZ21= = =- -下下a aXf(X1)f(X2)f(X3)均均數(shù)數(shù) 標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差-40.0001340.001713

21、641.18305E-05f(X)1f(X)10 01 1-3.90.0001990.002466551.78103E-05f(X)2f(X)2-1-10.90.9-3.80.0002920.003506682.65917E-05f(X)3f(X)31 11.11.1-3.70.0004250.004924283.93762E-05-3.60.0006120.006830095.78273E-05-3.50.0008730.009357268.42251E-05-3.40.0012320.012662210.000121664-3.30.0017230.016924210.000174298-

22、3.20.0023840.022343220.000247647-3.10.0032670.029135430.000348968-30.0044320.037526280.000487696-2.90.0059530.04774060.000675963-2.80.0079150.059989960.000929196-2.70.0104210.074457360.001266784-2.60.0135830.091279880.001712809-2.50.0175280.110530150.002296814-2.40.0223950.132197990.003054595-2.30.0

23、283270.156173470.004028953-2.20.0354750.182233420.005270375-2.10.0439840.210032790.006837568-20.0539910.239102730.00879777-1.90.0656160.268856360.011226757-1.80.078950.298603180.014208454-1.70.0940490.327572080.017834056-1.60.1109210.354942230.022200574-1.50.1295180.379880330.02740874-1.40.1497270.4

24、01582030.033560215-1.30.1713690.41931470.040754088-1.20.1941860.43245830.049082697-1.10.2178520.44054140.058626834-10.2419710.44326920.069450482-0.90.2660850.44054140.081595248-0.80.2896920.43245830.095074766-0.70.3122540.41931470.109869323-0.60.3332250.401582030.125921076-0.50.3520650.379880330.143

25、130171-0.40.368270.354942230.161352145-0.30.3813880.327572080.180396906-0.20.3910430.298603180.200029578-0.10.3969530.268856360.21997338600.3989420.239102730.2399146960.10.3969530.210032790.2595101520.20.3910430.182233420.2783957760.30.3813880.156173470.2961977270.40.368270.132197990.3125443050.50.3

26、520650.110530150.32707868943210-1-2-3-400.050.10.150.20.250.30.350.40.450.5Xf(X)f f( (X X) )1 1f f( (X X) )2 2f f( (X X) )3 3f f( (X X) )1 1= =N NO OR RM MD DI IS ST T( (x x, ,0 0, ,1 1, ,0 0) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $G G$ $2 2, ,$ $H H$ $2 2, ,0 0) )f f( (X X) )2 2= =N NO OR RM MD

27、 DI IS ST T( (x x, ,- -1 1, ,0 0. .9 9, ,0 0) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $G G$ $3 3, ,$ $H H$ $3 3, ,0 0) )f f( (X X) )3 3= =N NO OR RM MD DI IS ST T( (x x, ,1 1, ,1 1. .1 1, ,0 0) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $G G$ $4 4, ,$ $H H$ $4 4, ,0 0) ) 0 NORMDIST( 2，數(shù)數(shù)：正正態(tài)態(tài)分分布布的的

28、概概率率密密度度函函s sm m（0 0，1 1）（- -1 1，0 0. .9 9）（1 1，1 1. .1 1）) 0 x NORMDIST( x e21)x( f 22)x-(x-22，）（數(shù)數(shù)：正正態(tài)態(tài)分分布布的的概概率率密密度度函函s sm m= = - -p ps s= =s s1 1. .已已知知均均值值、標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差2 2. .取取值值X X4 4, ,步步長長= =標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差/ /1 10 03 3. .根根據(jù)據(jù)函函數(shù)數(shù)N NO OR RM MD DI IS ST T( ($ $A A2 2, ,$ $G G$ $2 2, ,$ $H H$ $2 2, ,0 0) )獲獲得

29、得正正態(tài)態(tài)分分布布曲曲線線數(shù)數(shù)據(jù)據(jù)0.60.3332250.091279880.3394717940.70.3122540.074457360.3494346220.80.2896920.059989960.3567294460.90.2660850.04774060.36117923610.2419710.037526280.36267481.10.2178520.029135430.3611792361.20.1941860.022343220.3567294461.30.1713690.016924210.3494346221.40.1497270.012662210.339471794

30、1.50.1295180.009357260.3270786891.60.1109210.006830090.3125443051.70.0940490.004924280.2961977271.80.078950.003506680.2783957761.90.0656160.002466550.25951015220.0539910.001713640.2399146962.10.0439840.001175950.2199733862.20.0354750.000797070.2000295782.30.0283270.000533630.1803969062.40.0223950.00

31、0352880.1613521452.50.0175280.000230490.1431301712.60.0135830.00014870.1259210762.70.0104219.4757E-050.1098693232.80.0079155.9642E-050.0950747662.90.0059533.7079E-050.08159524830.0044322.2769E-050.0694504823.10.0032670.000013810.0586268343.20.0023848.2734E-060.0490826973.30.0017234.8957E-060.0407540

32、883.40.0012322.8614E-060.0335602153.50.0008731.6519E-060.027408743.60.0006129.4196E-070.0222005743.70.0004255.3053E-070.0178340563.80.0002922.9514E-070.0142084543.90.0001991.6218E-070.01122675740.0001348.8022E-080.0087977743210-1-2-3-400.050.10.150.20.250.30.350.40.450.5Xf(X)f f( (X X) )1 1f f( (X X

33、) )2 2f f( (X X) )3 3f f( (X X) )1 1= =N NO OR RM MD DI IS ST T( (x x, ,0 0, ,1 1, ,0 0) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $G G$ $2 2, ,$ $H H$ $2 2, ,0 0) )f f( (X X) )2 2= =N NO OR RM MD DI IS ST T( (x x, ,- -1 1, ,0 0. .9 9, ,0 0) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $G G$ $3 3, ,$ $

34、H H$ $3 3, ,0 0) )f f( (X X) )3 3= =N NO OR RM MD DI IS ST T( (x x, ,1 1, ,1 1. .1 1, ,0 0) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $G G$ $4 4, ,$ $H H$ $4 4, ,0 0) ) 0 NORMDIST( 2，數(shù)數(shù)：正正態(tài)態(tài)分分布布的的概概率率密密度度函函s sm m（1 1，1 1. .1 1）Xf(X)F(X)均均數(shù)數(shù)標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差-40.0001343.16712E-050 01 1-3.90.0001994.80963E-05-3.8

35、0.0002920.000072348-3.70.0004250.0001078-3.60.0006120.000159109-3.50.0008730.000232629-3.40.0012320.000336929-3.30.0017230.000483424-3.20.0023840.000687138-3.10.0032670.000967603-30.0044320.001349898-2.90.0059530.001865813-2.80.0079150.00255513-2.70.0104210.003466974-2.60.0135830.004661188-2.50.0175

36、280.006209665-2.40.0223950.008197536-2.30.0283270.01072411-2.20.0354750.013903448-2.10.0439840.017864421-20.0539910.022750132-1.90.0656160.02871656-1.80.078950.035930319-1.70.0940490.044565463-1.60.1109210.054799292-1.50.1295180.066807201-1.40.1497270.080756659-1.30.1713690.096800485-1.20.1941860.11

37、506967-1.10.2178520.135666061-10.2419710.158655254-0.90.2660850.184060125-0.80.2896920.211855399-0.70.3122540.241963652-0.60.3332250.274253118-0.50.3520650.308537539-0.40.368270.344578258-0.30.3813880.382088578-0.20.3910430.420740291-0.10.3969530.46017216300.3989420.50.10.3969530.5398278370.20.39104

38、30.5792597090.30.3813880.6179114220.40.368270.6554217420.50.3520650.6914624614 43 32 21 10 0- -1 1- -2 2- -3 3- -4 40 00 0. .1 10 0. .2 20 0. .3 30 0. .4 40 0. .5 50 0. .6 60 0. .7 70 0. .8 80 0. .9 91 1Xf(X)F(X)f f( (X X) )= =N NO OR RM MD DI IS ST T( (x x, , , ,0 0) )= =N NO OR RM MD DI IS ST T( (

39、A A2 2, ,$ $F F$ $2 2, ,$ $G G$ $2 2, ,0 0) )F F( (X X) )= =N NO OR RM MD DI IS ST T( (x x, , , ,1 1) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $F F$ $2 2, ,$ $G G$ $2 2, ,1 1) ) 1 x NORMDIST( dze 21(Z) dxe 21)x X( f(X) F ) 0 x NORMDIST( x e21)x( f 22z-x2)x-(x-x22)x-(x-22222，數(shù)數(shù)：正正態(tài)態(tài)分分布布的的累累計計分分布布函函，

40、）（數(shù)數(shù)：正正態(tài)態(tài)分分布布的的概概率率密密度度函函s sm m= =p p= =f f= =p ps s= = = =s sm m= = - -p ps s= = - -s s - -s s0.60.3332250.7257468820.70.3122540.7580363480.80.2896920.7881446010.90.2660850.81593987510.2419710.8413447461.10.2178520.8643339391.20.1941860.884930331.30.1713690.9031995151.40.1497270.9192433411.50.12951

41、80.9331927991.60.1109210.9452007081.70.0940490.9554345371.80.078950.9640696811.90.0656160.9712834420.0539910.9772498682.10.0439840.9821355792.20.0354750.9860965522.30.0283270.989275892.40.0223950.9918024642.50.0175280.9937903352.60.0135830.9953388122.70.0104210.9965330262.80.0079150.997444872.90.005

42、9530.99813418730.0044320.9986501023.10.0032670.9990323973.20.0023840.9993128623.30.0017230.9995165763.40.0012320.9996630713.50.0008730.9997673713.60.0006120.9998408913.70.0004250.99989223.80.0002920.9999276523.90.0001990.99995190440.0001340.999968329) 1 x NORMDIST( dze 21(Z) dxe 21)x X( f(X) F ) 0 x

43、 NORMDIST( x e21)x( f 22z-x2)x-(x-x22)x-(x-22222，數(shù)數(shù)：正正態(tài)態(tài)分分布布的的累累計計分分布布函函，）（數(shù)數(shù)：正正態(tài)態(tài)分分布布的的概概率率密密度度函函s sm m= =p p= =f f= =p ps s= = = =s sm m= = - -p ps s= = - -s s - -s s4 43 32 21 10 0- -1 1- -2 2- -3 3- -4 40 00 0. .1 10 0. .2 20 0. .3 30 0. .4 40 0. .5 50 0. .6 60 0. .7 70 0. .8 80 0. .9 91 1Xf(X)F

44、(X)f f( (X X) )= =N NO OR RM MD DI IS ST T( (x x, , , ,0 0) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $F F$ $2 2, ,$ $G G$ $2 2, ,0 0) )F F( (X X) )= =N NO OR RM MD DI IS ST T( (x x, , , ,1 1) )= =N NO OR RM MD DI IS ST T( (A A2 2, ,$ $F F$ $2 2, ,$ $G G$ $2 2, ,1 1) ) 1 x NORMDIST( dze 21(Z) dxe 21

45、)x X( f(X) F ) 0 x NORMDIST( x e21)x( f 22z-x2)x-(x-x22)x-(x-22222，數(shù)數(shù)：正正態(tài)態(tài)分分布布的的累累計計分分布布函函，）（數(shù)數(shù)：正正態(tài)態(tài)分分布布的的概概率率密密度度函函s sm m= =p p= =f f= =p ps s= = = =s sm m= = - -p ps s= = - -s s - -s s) 1 x NORMDIST( dze 21(Z) dxe 21)x X( f(X) F ) 0 x NORMDIST( x e21)x( f 22z-x2)x-(x-x22)x-(x-22222，數(shù)數(shù)：正正態(tài)態(tài)分分布布的的累累

46、計計分分布布函函，）（數(shù)數(shù)：正正態(tài)態(tài)分分布布的的概概率率密密度度函函s sm m= =p p= =f f= =p ps s= = = =s sm m= = l l= =l l= = =l l- -X0123456789 10 11 12 13 14 150.000000 0.050000 0.100000 0.150000 0.200000 0.250000 0.300000 0.350000 0.400000 P(X)f(X1)f(X2) 1 1. .已已知知 2 2. .取取值值X X= =0 0，1 1，2 2，3 3，1 15 5 3 3. .根根據(jù)據(jù)函函數(shù)數(shù)P PO OI IS SS

47、 SO ON N( ($ $A A2 2, ,$ $F F$ $2 2, ,0 0) )獲獲得得泊泊松松分分布布曲曲線線數(shù)數(shù)據(jù)據(jù)）（）（的的均均值值）機(jī)機(jī)變變量量為為一一定定區(qū)區(qū)間間單單位位內(nèi)內(nèi)隨隨）（間間出出現(xiàn)現(xiàn)次次數(shù)數(shù)的的概概率率）：位位時時間間、空空間間里里某某一一時時泊泊松松的的概概率率分分布布（單單 0 , 7 , 6POISSON 0 , ,x POISSON X ( 0)( 0,1,2x , ! xexXP x= =l l= =l l l l= =l l= = =l l- -編編號號樣本個體值均均值值標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差123453.730.64接接受受區(qū)區(qū)域域13.3844 3.633

48、0 5.1010 3.6518 3.49653.85340.7059均均值值的的23.7853 3.0307 4.1260 3.7958 3.73753.69510.4023均均值值標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差34.4596 4.1869 3.2566 3.3746 4.59393.97430.62043.7302 0.2937144.5700 3.4502 4.9961 3.6439 3.22853.97770.764753.6126 4.1969 3.2352 3.5010 3.79063.66730.358164.5271 3.0477 3.3911 3.1470 4.05473.63350.63537

49、3.5728 3.0273 3.9970 4.4885 3.67313.75180.539984.5418 3.5642 3.5873 3.6981 4.78104.03450.580793.7213 3.8592 4.1844 3.2623 4.49663.90480.4682104.5129 3.8497 4.1772 3.7189 4.91374.23450.4889114.9873 4.3050 4.0246 3.2536 3.55764.02560.6742123.8217 4.7653 4.0038 4.0814 3.22533.97950.5527133.7139 4.5641

50、4.4901 4.2035 4.04474.20330.3453144.8331 2.7913 5.0701 2.9409 3.96733.92061.0478153.8760 4.7855 3.9092 3.4990 3.82223.97840.4798163.2055 3.6132 3.3647 2.5286 3.28393.19920.4049174.4171 2.4908 3.5402 3.6905 3.25703.47910.6990184.4898 3.6722 3.0890 3.9578 2.76943.59560.6848193.4292 3.2642 4.5657 2.414

51、4 3.69813.47430.7763203.2673 3.2045 5.2653 4.2975 2.26153.65921.1512 213.7694 3.6499 3.9262 3.4505 4.58813.87680.4339224.4433 4.7981 4.6822 4.5004 4.09154.50310.2703233.4625 3.4517 2.9997 4.2855 3.27773.49540.4797244.0221 3.5424 3.7501 4.0673 3.96863.87010.2199252.7941 3.1651 4.8096 3.1030 3.16863.4

52、0810.7986263.1892 3.5277 3.8155 4.8296 3.83413.83920.612610.96578273.6815 2.7548 4.0331 4.6197 3.25983.66980.7141282.9491 2.9472 3.8292 3.4714 3.40033.31940.3759293.2379 3.6289 4.6560 3.8181 4.01403.87100.5241304.2065 3.8692 3.5269 2.9381 3.77473.66310.4729313.1772 4.3738 4.4888 4.4273 2.73873.84120

53、.8220323.1458 3.2502 3.5771 4.3779 4.35193.74060.5918333.3336 2.2301 3.8659 4.3947 4.76093.71700.9911345.1269 4.1026 4.4910 3.6315 4.50854.37210.5531353.3466 3.7211 2.9442 3.9416 3.51063.49280.37952.2109 2.4751 2.7393 3.0035 3.2677 3.5319 3.7960 4.0602 4.3244 4.5886 4.8528 5.1170 5.3812 050100150200

54、250均值頻數(shù)組組距距=(均均值值+2.58標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差)-(均均值值-2.58標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差)/25=22.58標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差25(LN(1000)/LN(2)+1=10.965781 11 1最最小小值值=3.73-2.580.64=2.0788從從N(3.73,0.642)隨隨機(jī)機(jī)抽抽取取1000份份樣樣本本，每每份份5個個樣樣本本。求求每每份份樣樣本本的的均均值值和和標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差，繪繪制制1000個個均均值值直直方方圖圖。解解：1000份份樣樣本本1.在在A3輸輸入入1編編輯輯填填充充序序列列序序列列產(chǎn)產(chǎn)生生在在：列列；終終止止值值：1000確確定定；2.由由NORMINV(RAND(),

55、$G$2,$H$2)產(chǎn)產(chǎn)生生第第一一個個樣樣本本；3.由由AVERAGE(B3:F3)及及STDEV(B3:F3)樣樣本本均均值值及及標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差4.選選中中B3:H3右右健健復(fù)復(fù)制制選選中中B4Shift選選中中H1000粘粘貼貼5.由由AVERAGE(G3:G1002)及及STDEV(G3:G1002)樣樣本本均均值值的的均均值值及及樣樣本本均均值值的的標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差均均值值的的直直方方圖圖：1.以以（均均值值2.58標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差）（包包含含總總體體中中99%的的個個體體）確確定定第第一一組組上上限限： 3.73-2.580.64=2.082. L1=組組距距=(均均值值+2.58標(biāo)標(biāo)準(zhǔn)準(zhǔn)差

56、差)-(均均值值-2.58標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差)=22.58標(biāo)標(biāo)準(zhǔn)準(zhǔn)差差25=$G$2-2.58*$H$23.選選中中M2:M26，在在編編輯輯欄欄輸輸入入公公式式“=FREQUENCY(G3:G1002,L2:L26)”Ctrl+Shift+Enter，獲獲得得頻頻數(shù)數(shù)4.繪繪制制直直方方圖圖：選選中中M2:M26圖圖表表向向?qū)?dǎo)圖圖表表下下一一步步系系列列分分類類(X)軸軸標(biāo)標(biāo)志志：選選中中L2:L26下下一一步步分分類類(X)軸軸：均均值值；數(shù)數(shù)值值(Y)軸軸：頻頻數(shù)數(shù)完完成成=NORMINV(x， ，=NORMINV(RAND()，)362.7523 3.5197 3.4580 4.2026

57、4.05813.59820.5741374.8858 3.0084 4.4220 3.8133 2.91423.80870.8627384.4639 4.2109 3.2800 3.5472 3.44893.79020.5164394.0690 3.0523 4.3596 3.2881 4.05523.76480.5625402.6515 3.5360 3.5240 4.0150 3.78023.50130.5161412.0238 2.8395 3.0091 3.3552 3.86763.01900.6812423.2812 2.6638 4.1990 3.2654 3.56503.3949

58、0.5567433.6743 3.1190 3.5777 3.8416 4.05933.65440.3507443.7720 3.8273 2.7698 3.8849 3.15983.48280.4941453.8573 3.1153 4.4790 3.6195 3.64613.74340.4933463.7715 4.0222 3.8177 4.6240 3.28933.90490.4835474.1362 3.5267 3.2424 2.8813 2.60793.27890.5929482.0494 4.1895 3.3527 3.2189 3.72893.30790.7981493.99

59、21 4.2270 5.0492 4.5917 3.36494.24500.6336503.0915 2.6410 4.3516 3.1113 2.64153.16740.7009514.3861 3.2905 4.1180 3.3960 4.96804.03170.7006523.5808 3.7715 2.8230 5.0345 3.57033.75600.8016534.5704 3.5879 3.9499 4.2344 3.61283.99110.4189543.5016 3.3511 3.1053 3.2310 4.60293.55840.6020553.8062 4.1343 2.

60、7441 3.8475 4.10443.72730.5690563.8891 3.3094 4.2376 3.7706 3.74593.79050.3330573.3926 3.3341 3.3022 2.9220 4.06033.40220.4118583.1577 3.8463 4.4332 3.5981 4.80813.96870.6577593.0321 4.2441 3.6301 4.0003 2.59693.50070.6811603.8374 4.3931 4.3859 2.3891 4.48243.89760.8811613.7281 3.8419 4.1314 2.6446