数学实验MATLAB版韩明版51535556部分答案.docx
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数学实验MATLAB版韩明版51535556部分答案.docx
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数学实验MATLAB版韩明版51535556部分答案
数学实验(MATLAB版韩明版)5.1,5.3,5.5,5.6部分答案
练习5.1
1、仿照本节的例子,分别画出二项分布
的分布规律和分布函数的图形,通过观察图形,进一步理解二项分布的性质。
解:
分布规律编程作图:
>>x=0:
1:
20;y=binopdf(x,20,0.7);
>>plot(x,y,'*')
图像:
分布函数编程作图:
>>x=0:
0.01:
20;
>>y=binocdf(x,20,0.7)
>>plot(x,y)
图像:
观察图像可知二项分布规律图像像一条抛物线,其分布函数图像呈阶梯状。
2、仿照本节的例子,分别画出正态分布
的概率密度函数和分布函数的图形,通过观察图形,进一步理解正态分布的性质。
解:
概率密度函数编程作图:
>>x=-10:
0.01:
10;
>>y=normpdf(x,2,5);
>>plot(x,y)
图像:
分布函数编程作图:
>>x=-10:
0.01:
10;
>>y=normcdf(x,2,5);
>>plot(x,y)
图像:
观察图像可知正态分布概率密度函数图像像抛物线,起分布函数图像呈递增趋势。
3、设
,通过分布函数的调用计算
.
解:
编程求解:
>>x1=normcdf
(1)-normcdf(-1),x2=normcdf
(2)-normcdf(-2),x3=normcdf(3)-normcdf(-3)
x1=0.6827
x2=0.9545
x3=0.9973
即:
,
,
.
4、设
通过分布函数的调用计算
与
.
解:
编程求解:
>>x1=binopdf(10,20,0.7),x2=binocdf(10,20,0.7)-binopdf(10,20,0.7)
x1=0.0308
x2=0.0171
即:
,
5、设
求:
(1)
;
(2)
.
解:
(1)编程求解:
>>p=poisscdf(4,8)
p=0.0996
即:
(2)编程求解:
>>p=poisscdf(5,8)-poisscdf(2,8)
p=0.1775
即:
6、
(1)设
求
;
(2)对
分布,求
;(3)对
;(4)对
分布,求
。
解:
(1)编程求解:
>>norminv(0.99)
ans=2.3263
即:
(2)编程求解:
>>chi2inv(0.95,8)
ans=15.5073
即:
(3)编程求解:
>>tinv(0.95,13)
ans=1.7709
即:
(4)编程求解:
>>finv(0.95,15,10)
ans=2.8450
即:
7、分别生成
个和
个均匀分布
的随机数。
解:
编程求解:
>>A=unifrnd(0,1,6,2),B=rand(6,1)
A=
0.95010.4565
0.23110.0185
0.60680.8214
0.48600.4447
0.89130.6154
0.76210.7919
B=
0.4103
0.8936
0.0579
0.3529
0.8132
0.0099
练习5.3
1.设
求该均匀分布的均值和方差。
解:
编程求解:
>>[m,v]=unifstat(1,11)
m=6
v=8.3333
2.设
,求该正态分布的均值、标准差与方差。
解:
编程求解:
>>x=normrnd(0,16,5,5);
>>s=std(x),[m,v]=normstat(0,16)
s=21.50589.931014.510319.205217.4124
m=0
v=256
3.生成
列服从标准正态分布的随机数,每列
个数,每列中,标准差的均值都为1.
解:
编程如下:
>>x=normrnd(0,1,200,6)
x=
1.08840.06572.46812.1338-0.3558-0.7192
0.5006-0.0123-0.6692-0.0029-0.3277-0.2199
2.7718-0.07700.2599-0.08950.08310.5750
-0.1603-1.5586-0.3723-0.25500.43340.1701
0.42951.70261.3186-0.8742-1.2230-0.4958
-1.9668-0.4690-0.65310.4229-2.73591.2027
-0.54600.09460.0622-0.1334-0.5350-0.1121
-1.88840.2871-0.73590.53962.20900.5628
-0.10800.9194-0.17930.8752-0.6057-0.0307
-1.31610.51011.0847-1.25081.4352-1.3228
-0.67260.24540.13690.86831.1948-1.0830
-0.9024-1.4005-0.0156-0.80480.74310.1575
-0.15480.9696-0.9385-0.7527-0.1214-1.4664
0.94721.5937-1.4781-0.7458-0.03120.6736
1.5504-1.43790.3619-0.3097-1.00300.3625
0.4290-1.53420.4778-1.5219-1.03810.6065
-0.5608-0.07470.32170.82650.62860.0742
0.17930.0815-1.8776-0.61300.86781.0805
-0.7715-0.84320.68050.95972.0718-0.6624
-0.9434-0.56460.23341.9730-0.59440.4754
-1.4076-0.02821.23950.29500.58631.2443
-1.9061-1.24370.1257-0.39271.52560.0296
-0.06530.73300.17970.57592.14320.6917
0.67210.0596-0.6051-1.1414-0.7460-0.6856
0.20610.1491-1.03690.0611-1.5315-0.0431
-0.00811.5959-0.29530.0123-0.2132-1.5477
0.0200-0.77731.4561-0.16810.4925-1.0718
-0.55841.55031.8025-0.6873-0.3233-0.2211
1.88611.0550-1.3336-0.99070.8222-1.6758
-0.2200-0.16670.3873-0.0498-1.4143-1.6981
-1.41440.3145-0.02280.71931.1437-0.1085
-0.30281.41960.1106-0.28310.9790-0.3008
-0.56960.32730.8128-1.42500.4926-1.3683
-0.12150.4757-1.00910.46151.25790.7377
-0.39020.3988-1.00461.09150.5941-0.4043
-0.8443-0.07280.2830-1.04430.45450.8568
-1.73781.31480.2898-2.8428-1.41783.3437
-0.44950.9783-0.24730.9968-0.91990.6265
-1.54791.7221-0.21890.0765-1.44811.2796
-0.0958-0.41230.8987-1.8667-1.4813-0.7412
0.90770.5651-0.6422-0.61360.09731.0341
2.36960.7399-0.18041.1694-0.2263-0.6182
0.51980.22010.7179-0.5750-0.31720.4238
0.41051.31280.3014-0.26480.63400.8949
1.05260.62921.54890.00470.0390-0.2375
0.4288-1.1080-0.0442-0.0394-0.0164-0.1279
1.2951-0.4470-0.0297-0.50540.44951.0195
-0.1861-0.7260-0.3821-1.1578-0.52231.7484
0.13070.3540-0.55390.7104-1.05510.9875
-0.6576-0.50680.93240.7282-0.0478-0.4201
-0.7593-2.1037-1.31580.8669-0.4990-0.3337
-0.5952-0.6647-0.30152.43161.6275-0.8578
0.81241.4501-2.59960.1102-0.2390-0.7716
0.0695-0.32980.78010.0264-0.96171.4643
-1.83372.70190.60290.9703-0.15271.0918
1.8274-1.63490.9428-0.00531.6830-0.2168
0.6541-0.5363-1.02391.40951.55511.4199
-1.54480.5472-0.06781.7579-1.05020.6269
-0.37511.49260.08180.88500.09672.2215
0.2077-0.4552-1.76701.14090.2516-1.2924
-0.7656-0.4964-1.78130.40322.24721.1703
-0.10641.2353-0.66040.19100.3105-1.1789
0.33880.04091.3514-0.69361.9916-0.5679
1.03350.74852.13640.0110-0.11931.1773
-1.40481.23080.1668-1.1056-0.27270.2257
-1.03060.3049-1.70521.90801.44450.7576
-0.64341.07780.2765-0.1654-0.0744-0.8484
0.17080.76520.3945-0.7324-0.36251.8595
1.3448-1.3196-0.0986-0.9907-0.7770-0.0360
1.9363-0.50920.17640.8943-0.25012.5915
0.74130.5551-1.83790.4482-0.4187-0.6913
0.8120-1.9576-1.50230.88921.4149-1.5765
-0.1428-0.76050.81921.0733-0.8474-0.6101
-0.0999-2.4439-0.2346-0.10470.16610.3767
-0.8001-0.6594-1.63161.5473-0.04821.2728
0.4932-0.1148-0.31790.1698-2.9772-0.5918
1.23760.3001-0.79630.80401.00702.2496
1.2960-0.58400.6908-1.72400.8844-0.0163
-0.2782-3.0737-0.04200.1741-0.40590.7358
0.21711.55100.3240-0.4841-2.6192-0.6409
0.6307-0.40740.5065-0.7316-0.96861.4443
-0.54851.4281-1.0286-2.13190.5553-1.1590
0.2296-1.35320.0994-1.81040.75950.6863
0.35530.9040-0.1164-0.0523-0.57200.7304
0.52130.54170.6892-0.08621.15800.5145
-0.6160-0.46501.8833-1.1897-0.30801.6958
1.34582.43040.3254-0.75410.0032-0.6763
0.97492.0205-0.09520.9473-1.40613.4128
-2.37790.79730.0312-0.18261.6241-0.3947
-1.09230.0310-0.6138-0.06630.13961.2059
-0.32570.5407-1.73130.9050-1.81660.3078
-2.01220.68390.47881.4582-2.7892-0.4864
1.5677-0.5901-0.4478-1.11800.2624-0.3310
0.2333-0.26110.38681.81330.11920.7767
0.64641.51710.05300.15080.3323-0.3327
-1.12941.0073-0.4861-0.2830-0.44652.0963
0.19700.30340.24451.65010.00520.3888
1.6969-0.81710.71830.6664-0.2061-0.6525
0.7260-0.49120.1535-0.34640.0495-0.0568
0.79250.86750.1338-0.26400.92600.4225
0.60340.3608-1.0062-0.64430.3508-0.0749
-0.0584-0.08041.3065-0.9055-0.79580.7867
-1.10870.74931.19910.7167-0.6222-0.1371
2.1442-1.7920-2.5773-0.00731.42990.6365
-1.35281.2132-2.0863-2.8148-2.08491.5781
0.4570-0.06050.3861-0.14950.0337-0.0309
0.3912-0.3925-0.86100.5775-0.01570.3163
2.07300.6095-1.23080.7531-0.55431.9848
-0.32330.64362.6416-0.1670-1.1636-0.6450
1.46811.0195-0.9044-0.58180.10000.3133
-0.50240.9344-1.22330.36580.47831.5924
0.20961.22860.3032-0.54891.7747-0.9732
0.7548-0.2495-0.73010.5787-0.4705-1.1477
-0.9482-0.7076-1.1436-1.9558-0.9253-1.4845
0.6132-0.5938-1.41320.52200.0015-0.9661
1.7605-0.2623-0.59181.60110.6373-0.0397
0.08881.24280.51890.7326-1.5689-2.1219
2.5956-1.5489-1.49280.55570.7002-1.8364
-0.6755-0.3868-0.0867-0.81330.9738-1.5420
2.78680.2751-0.0126-0.5390-0.0705-0.2354
-0.01680.8262-0.34591.3079-0.03371.1994
0.2717-0.97930.9863-0.48260.3025-0.0332
-0.9141-0.10430.6433-1.7524-0.6566-0.5414
-1.95140.12782.9199-0.9266-0.0522-0.0674
-0.31740.0625-1.24860.92240.77322.2560
0.58830.37160.15710.0410-0.31990.2124
0.8290-0.10400.78870.4136-1.12060.1884
-1.6749-0.6968-0.57710.59721.46060.2847
-1.9223-0.38680.52761.92430.4091-1.5296
-0.43670.01611.67170.71411.1326-2.3702
0.04501.36920.8001-2.31230.5700-2.0321
2.41660.41690.88381.3807-0.91771.2202
-0.30990.0687-0.22421.39071.7010-0.3648
0.18760.29420.2970-0.4539-0.0248-0.6328
0.94770.4726-0.5210-0.6283-0.7698-0.2226
-0.52571.7827-0.15541.0232-0.83750.1806
-1.11560.2606-0.0985-0.4891-0.09180.8971
-1.59231.51070.9972-0.40240.6301-1.2305
1.17480.31700.43451.39970.38450.1254
0.48510.8035-0.02570.2806-0.60990.8074
1.64550.5809-0.37991.8809-0.4137-1.0653
-0.45421.7786-0.2424-0.79971.1181-2.0091
1.0088-0.9381-1.1651-0.5607-0.70030.2432
2.0494-0.91670.75661.7089-0.35010.1495
0.60200.37601.1642-0.64481.81682.6078
0.01790.9098-1.0235-1.4225-1.6401-0.0532
-1.61040.15421.7016-0.75590.2771-0.0147
1.2388-0.2023-0.49420.1575-0.6745-0.5167
0.68361.48870.17270.37830.20391.2073
-0.7807-0.62160.35410.17871.30740.1108
0.53100.8095-0.2463-0.60280.46211.6935
2.13451.9288-0.1457-0.99341.28850.4573
0.35440.3961-1.16901.1889-0.95611.0671
0.2317-0.8614-0.02202.38801.1957-0.1276
1.28802.43190.61832.2655-0.40560.1880
-0.0135-0.84051.86592.3011-0.6034-0.4533
-1.33330.28050.0819-0.27011.8336-0.6201
-0.55630.82041.60800.5028-0.9653-1.9254
0.75561.2278-0.3807-0.1192-0.3970-1.4255
-0.9119-0.0636-1.2996-0.00190.08980.2680
1.37170.6453-0.7240-0.43260.2640-0.3626
0.2456-1.7713-0.5650-0.19480.2922-0.9841
0.11880.05960.62170.98540.78181.3650
0.3847-0.7602-1.33550.46860.40400.8670
-0.0702-1.6909-0.1231-1.3649-0.3254-0.4289
-0.57831.1037-1.10280.2737-0.37390.9718
0.46931.4625-2.75322.6467-0.2943-1.1435
1.29970.23620.2520-0.0538-1.71792.0477
1.6348-1.0977-0.85810.4725-0.05390.0078
-0.70282.41521.1354-2.08000.21790.7468
0.8073-0.4021-0.2979-0.80252.17320.5396
-1.02750.91411.1543-0.45680.5724-0.6918
1.2945-0.13601.04610.19390.81501.0841
0.01491.31422.12690.8895-1.07890.6294
0.21870.3224-0.6558-1.5917-0.5799-0.7561
1.7132-0.4765-1.1424-0.3220-1.87570.23
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