Please review my code (java) Someone helped me with it but i cannot get it to compile i tried to separate the code that didnt work. package ch02.stacks; import java.lang.Iterable; import java.util.*; import java.lang.*; import java.io.*; public class ArrayBoundedStack implements StackInterface public class StackUnderflowException extends RuntimeException class StackUnderflowException extends RuntimeException { public StackUnderflowException() { super(); } public StackUnderflowException(String message) { super(message); } } class StackOverflowException extends RuntimeException { public StackOverflowException() { super(); } public StackOverflowException(String message) { super(message); } } class ArrayBoundedStack implements StackInterface { protected final int DEFCAP = 100; // default capacity protected T[] elements; // holds stack elements protected int topIndex = -1; // index of top element in stack public ArrayBoundedStack() { elements = (T[]) new Object[DEFCAP]; } public ArrayBoundedStack(int maxSize) { elements = (T[]) new Object[maxSize]; } public void push(T element) // Throws StackOverflowException if this stack is full, // otherwise places element at the top of this stack. { if (isFull()) throw new StackOverflowException(\"Push attempted on a full stack.\"); else { topIndex++; elements[topIndex] = element; } } public void pop() // Throws StackUnderflowException if this stack is empty, // otherwise removes top element from this stack. { if (isEmpty()) throw new StackUnderflowException(\"Pop attempted on an empty stack.\"); else { elements[topIndex] = null; topIndex--; } } public T top() // Throws StackUnderflowException if this stack is empty, // otherwise returns top element of this stack. { T topOfStack = null; if (isEmpty()) throw new StackUnderflowException(\"Top attempted on an empty stack.\"); else topOfStack = elements[topIndex]; return topOfStack; } public boolean isEmpty() // Returns true if this stack is empty, otherwise returns false. { return (topIndex == -1); } public boolean isFull() // Returns true if this stack is full, otherwise returns false. { return (topIndex == (elements.length - 1)); } public String toString() { String ans=new String(); int counter=topIndex; while(counter>=0) { ans=ans+elements[topIndex].toString()+\"--\"; counter--; } } public int size() { return topIndex+1; } public void popSome(int count) { if(size()0) { elements[topIndex] = null; topIndex--; count--; } } public boolean swapStart() { if(size()<2) return false; T topOfStack = null; topOfStack=elements[topIndex]; elements[topIndex]=elements[topIndex-1]; elements[topIndex-1]=topOfStack; return true; } public T poptop() { if(topIndex==-1) throw new StackUnderflowException(\"Top attempted on an empty stack.\"); else { T t=null; t=elements[topIndex--]; return t; } } } public class ArrayBounded { public static void main(String args[]) { Stack s=new ArrayBoundedStack(); s.push(10); s.push(20); s.push(30); System.out.println(s.toString()); System.out.pr.

1. Please show your input and output screenshot of matlab. Show all work!
5. Fill a MATLAB vector array with 1000 Gaussianly distributed numbers (ie, randn and
another with 1000 uniformly distributed numbers (ie, rand. Find the mean and standard deviation
of both sets of numbers. Modify the array of numbers to have a mean value of zero. Confirm it
has a mean of zero and recalculate the standard deviation.
Solution
r = randn(1,1000,'single')
r =
Columns 1 through 13
0.5377 1.8339 -2.2588 0.8622 0.3188 -1.3077 -0.4336 0.3426 3.5784 2.7694 -
1.3499 3.0349 0.7254
Columns 14 through 26
-0.0631 0.7147 -0.2050 -0.1241 1.4897 1.4090 1.4172 0.6715 -1.2075 0.7172
1.6302 0.4889 1.0347
Columns 27 through 39
0.7269 -0.3034 0.2939 -0.7873 0.8884 -1.1471 -1.0689 -0.8095 -2.9443 1.4384
0.3252 -0.7549 1.3703
Columns 40 through 52
-1.7115 -0.1022 -0.2414 0.3192 0.3129 -0.8649 -0.0301 -0.1649 0.6277 1.0933
1.1093 -0.8637 0.0774
Columns 53 through 65
-1.2141 -1.1135 -0.0068 1.5326 -0.7697 0.3714 -0.2256 1.1174 -1.0891 0.0326
0.5525 1.1006 1.5442
Columns 66 through 78
0.0859 -1.4916 -0.7423 -1.0616 2.3505 -0.6156 0.7481 -0.1924 0.8886 -0.7648
-1.4023 -1.4224 0.4882
Columns 79 through 91
-0.1774 -0.1961 1.4193 0.2916 0.1978 1.5877 -0.8045 0.6966 0.8351 -0.2437
0.2157 -1.1658 -1.1480
Columns 92 through 104
0.1049 0.7223 2.5855 -0.6669 0.1873 -0.0825 -1.9330 -0.4390 -1.7947 0.8404 -
0.8880 0.1001 -0.5445

2. Columns 105 through 117
0.3035 -0.6003 0.4900 0.7394 1.7119 -0.1941 -2.1384 -0.8396 1.3546 -1.0722
0.9610 0.1240 1.4367
Columns 118 through 130
-1.9609 -0.1977 -1.2078 2.9080 0.8252 1.3790 -1.0582 -0.4686 -0.2725 1.0984
-0.2779 0.7015 -2.0518
Columns 131 through 143
-0.3539 -0.8236 -1.5771 0.5080 0.2820 0.0335 -1.3337 1.1275 0.3502 -0.2991
0.0229 -0.2620 -1.7502
Columns 144 through 156
-0.2857 -0.8314 -0.9792 -1.1564 -0.5336 -2.0026 0.9642 0.5201 -0.0200 -0.0348
-0.7982 1.0187 -0.1332
Columns 157 through 169
-0.7145 1.3514 -0.2248 -0.5890 -0.2938 -0.8479 -1.1201 2.5260 1.6555 0.3075
-1.2571 -0.8655 -0.1765
Columns 170 through 182
0.7914 -1.3320 -2.3299 -1.4491 0.3335 0.3914 0.4517 -0.1303 0.1837 -0.4762
0.8620 -1.3617 0.4550
Columns 183 through 195
-0.8487 -0.3349 0.5528 1.0391 -1.1176 1.2607 0.6601 -0.0679 -0.1952 -0.2176
-0.3031 0.0230 0.0513
Columns 196 through 208
0.8261 1.5270 0.4669 -0.2097 0.6252 0.1832 -1.0298 0.9492 0.3071 0.1352
0.5152 0.2614 -0.9415
Columns 209 through 221
-0.1623 -0.1461 -0.5320 1.6821 -0.8757 -0.4838 -0.7120 -1.1742 -0.1922 -0.2741
1.5301 -0.2490 -1.0642
Columns 222 through 234
1.6035 1.2347 -0.2296 -1.5062 -0.4446 -0.1559 0.2761 -0.2612 0.4434 0.3919 -
1.2507 -0.9480 -0.7411
Columns 235 through 247
-0.5078 -0.3206 0.0125 -3.0292 -0.4570 1.2424 -1.0667 0.9337 0.3503 -0.0290
0.1825 -1.5651 -0.0845
Columns 248 through 260
1.6039 0.0983 0.0414 -0.7342 -0.0308 0.2323 0.4264 -0.3728 -0.2365 2.0237 -
2.2584 2.2294 0.3376

3. Columns 261 through 273
1.0001 -1.6642 -0.5900 -0.2781 0.4227 -1.6702 0.4716 -1.2128 0.0662 0.6524
0.3271 1.0826 1.0061
Columns 274 through 286
-0.6509 0.2571 -0.9444 -1.3218 0.9248 0.0000 -0.0549 0.9111 0.5946 0.3502
1.2503 0.9298 0.2398
Columns 287 through 299
-0.6904 -0.6516 1.1921 -1.6118 -0.0245 -1.9488 1.0205 0.8617 0.0012 -0.0708
-2.4863 0.5812 -2.1924
Columns 300 through 312
-2.3193 0.0799 -0.9485 0.4115 0.6770 0.8577 -0.6912 0.4494 0.1006 0.8261
0.5362 0.8979 -0.1319
Columns 313 through 325
-0.1472 1.0078 -2.1237 -0.5046 -1.2706 -0.3826 0.6487 0.8257 -1.0149 -0.4711
0.1370 -0.2919 0.3018
Columns 326 through 338
0.3999 -0.9300 -0.1768 -2.1321 1.1454 -0.6291 -1.2039 -0.2539 -1.4286 -0.0209
-0.5607 2.1778 1.1385
Columns 339 through 351
-2.4969 0.4413 -1.3981 -0.2551 0.1644 0.7477 -0.2730 1.5763 -0.4809 0.3275
0.6647 0.0852 0.8810
Columns 352 through 364
0.3232 -0.7841 -1.8054 1.8586 -0.6045 0.1034 0.5632 0.1136 -0.9047 -0.4677 -
0.1249 1.4790 -0.8608
Columns 365 through 377
0.7847 0.3086 -0.2339 -1.0570 -0.2841 -0.0867 -1.4694 0.1922 -0.8223 -0.0942
0.3362 -0.9047 -0.2883
Columns 378 through 390
0.3501 -1.8359 1.0360 2.4245 0.9594 -0.3158 0.4286 -1.0360 1.8779 0.9407
0.7873 -0.8759 0.3199
Columns 391 through 403
-0.5583 -0.3114 -0.5700 -1.0257 -0.9087 -0.2099 -1.6989 0.6076 -0.1178 0.6992
0.2696 0.4943 -1.4831
Columns 404 through 416
-1.0203 -0.4470 0.1097 1.1287 -0.2900 1.2616 0.4754 1.1741 0.1269 -0.6568 -
1.4814 0.1555 0.8186

4. Columns 417 through 429
-0.2926 -0.5408 -0.3086 -1.0966 -0.4930 -0.1807 0.0458 -0.0638 0.6113 0.1093
1.8140 0.3120 1.8045
Columns 430 through 442
-0.7231 0.5265 -0.2603 0.6001 0.5939 -2.1860 -1.3270 -1.4410 0.4018 1.4702 -
0.3268 0.8123 0.5455
Columns 443 through 455
-1.0516 0.3975 -0.7519 1.5163 -0.0326 1.6360 -0.4251 0.5894 -0.0628 -2.0220
-0.9821 0.6125 -0.0549
Columns 456 through 468
-1.1187 -0.6264 0.2495 -0.9930 0.9750 -0.6407 1.8089 -1.0799 0.1992 -1.5210
-0.7236 -0.5933 0.4013
Columns 469 through 481
0.9421 0.3005 -0.3731 0.8155 0.7989 0.1202 0.5712 0.4128 -0.9870 0.7596 -
0.6572 -0.6039 0.1769
Columns 482 through 494
-0.3075 -0.1318 0.5954 1.0468 -0.1980 0.3277 -0.2383 0.2296 0.4400 -0.6169
0.2748 0.6011 0.0923
Columns 495 through 507
1.7298 -0.6086 -0.7371 -1.7499 0.9105 0.8671 -0.0799 0.8985 0.1837 0.2908
0.1129 0.4400 0.1017
Columns 508 through 520
2.7873 -1.1667 -1.8543 -1.1407 -1.0933 -0.4336 -0.1685 -0.2185 0.5413 0.3893
0.7512 1.7783 1.2231
Columns 521 through 533
-1.2833 -2.3290 0.9019 -1.8356 0.0668 0.0355 2.2272 -0.0692 -0.5073 0.2358
0.2458 0.0700 -0.6086
Columns 534 through 546
-1.2226 0.3165 -1.3429 -1.0322 1.3312 -0.4189 -0.1403 0.8998 -0.3001 1.0294
-0.3451 1.0128 0.6293
Columns 547 through 559
-0.2130 -0.8657 -1.0431 -0.2701 -0.4381 -0.4087 0.9835 -0.2977 1.1437 -0.5316
0.9726 -0.5223 0.1766
Columns 560 through 572
0.9707 -0.4140 -0.4383 2.0034 0.9510 -0.4320 0.6489 -0.3601 0.7059 1.4158 -
1.6045 1.0289 1.4580

5. Columns 573 through 585
0.0475 1.7463 0.1554 -1.2371 -2.1935 -0.3334 0.7135 0.3174 0.4136 -0.5771
0.1440 -1.6387 -0.7601
Columns 586 through 598
-0.8188 0.5197 -0.0142 -1.1555 -0.0095 -0.6898 -0.6667 0.8641 0.1134 0.3984
0.8840 0.1803 0.5509
Columns 599 through 611
0.6830 1.1706 0.4759 1.4122 0.0226 -0.0479 1.7013 -0.5097 -0.0029 0.9199
0.1498 1.4049 1.0341
Columns 612 through 624
0.2916 -0.7777 0.5667 -1.3826 0.2445 0.8084 0.2130 0.8797 2.0389 0.9239
0.2669 0.6417 0.4255
Columns 625 through 637
-1.3147 -0.4164 1.2247 -0.0436 0.5824 -1.0065 0.0645 0.6003 -1.3615 0.3476 -
0.1818 -0.9395 -0.0375
Columns 638 through 650
-1.8963 -2.1280 -1.1769 -0.9905 -1.1730 -1.7254 0.2882 -1.5942 0.1102 0.7871
-0.0022 0.0931 -0.3782
Columns 651 through 663
-1.4827 -0.0438 0.9608 1.7382 -0.4302 -1.6273 0.1663 0.3763 -0.2270 -1.1489
2.0243 -2.3595 -0.5100
Columns 664 through 676
-1.3216 -0.6361 0.3179 0.1380 -0.7107 0.7770 0.6224 0.6474 -0.4256 1.0486
0.6607 2.5088 1.0635
Columns 677 through 689
1.1569 0.0530 -1.2884 -0.3712 -0.7578 -0.5640 0.5551 -0.5568 -0.8951 -0.4093
-0.1609 0.4093 -0.9526
Columns 690 through 702
0.3173 0.0780 1.3244 -0.2132 -0.1345 -1.1714 -1.3853 0.3105 -0.2495 0.5037 -
0.8927 1.9085 0.1222
Columns 703 through 715
1.0470 -0.2269 -0.1625 0.6901 0.5558 -1.1203 -1.5327 -1.0979 -1.4158 0.0596
-0.4113 -0.3680 -1.3610
Columns 716 through 728
0.7796 0.4394 -0.0896 1.0212 -0.8740 0.4147 0.3484 0.3493 -0.7292 0.3268 -
0.5149 -0.8964 -1.2033

6. Columns 729 through 741
1.0378 -0.8459 -0.1729 -1.2087 -0.2971 -3.2320 -1.0870 -1.4264 -1.0145 -0.2133
-0.3253 1.9444 -0.5718
Columns 742 through 754
-0.2500 -1.5693 -0.4774 -1.3380 0.0303 0.8531 0.4043 -0.7006 -1.6305 1.4600
2.0500 0.1205 -0.9899
Columns 755 through 767
1.1978 -0.5927 -0.4698 0.8864 -1.3852 -1.9568 0.4207 0.4007 0.0951 0.4967
1.0822 0.9704 -0.5686
Columns 768 through 780
0.8100 0.1732 -0.5055 -1.1933 0.6470 -0.3536 0.0464 -0.7929 -1.5505 0.1716 -
0.0621 1.1990 0.8017
Columns 781 through 793
1.0533 -0.7489 -0.9363 -1.2691 0.4980 2.7891 0.7276 -0.7731 0.8366 -1.1283 -
1.4245 0.7174 -0.7779
Columns 794 through 806
0.3160 1.4065 0.4011 0.9297 -1.6058 0.6615 2.1385 0.5411 -1.5409 -0.2031 -
0.5000 0.3830 0.4120
Columns 807 through 819
0.4055 -0.3638 -0.5993 -0.5896 0.8535 -1.8530 -0.2073 0.2704 -0.6528 0.4772
-0.0713 -0.9383 0.1614
Columns 820 through 832
-0.2682 -0.4099 -0.7113 0.0614 -1.8461 -0.3983 -0.5435 -0.9119 0.6527 -0.7343
0.5406 0.9758 -0.1569
Columns 833 through 845
0.2778 0.6395 -0.0810 0.5409 -1.2626 1.1104 -0.9896 -1.8288 1.3845 -0.0627
0.4489 -0.3633 -1.0206
Columns 846 through 858
-3.0730 0.6263 -0.2867 -0.1973 0.4056 -1.4193 -0.7294 1.1473 0.5979 -1.2813
-2.2033 -0.5712 0.2140
Columns 859 through 871
0.9424 0.0937 -1.1223 0.3062 -1.1723 -0.9610 -0.6537 -1.2294 -0.2710 -0.9000
-0.2857 -0.4624 -0.4098
Columns 872 through 884
-0.5035 1.2333 0.6103 0.0591 -1.4669 -1.6258 -1.9648 2.6052 0.9724 0.2570 -
0.9742 -1.1464 0.5476

7. Columns 885 through 897
1.5651 -1.6933 -0.4494 -0.0843 -1.9920 0.8412 -0.4147 1.9122 -0.3909 0.4092
-1.1424 -0.6249 -1.1687
Columns 898 through 910
0.3926 1.3018 -0.5936 0.4364 -0.5044 0.1021 1.1963 0.1203 -1.0368 -0.8571 -
0.1699 -0.1917 -0.8658
Columns 911 through 923
0.1807 1.2665 -0.2512 -0.2046 -2.2015 -0.7745 -1.3933 -0.3862 0.5256 1.5233
1.7985 -0.1169 -0.3202
Columns 924 through 936
0.8175 0.4902 0.7653 0.7783 -1.4803 0.5404 -0.0915 -0.7603 -0.6936 1.2815 -
0.8097 -1.2368 0.2147
Columns 937 through 949
2.0108 0.0256 0.3083 -0.9382 1.6742 0.1250 0.5301 -0.9521 0.8540 0.3891 -
1.1560 0.0397 -0.4506
Columns 950 through 962
0.1092 -0.2506 -0.1899 -1.0329 -0.3233 0.7665 1.7447 -1.1605 2.3774 1.5261
0.1685 -0.3012 -0.6987
Columns 963 through 975
0.8328 -0.6946 -0.4619 0.8836 0.4359 0.8967 0.5047 -0.4009 -0.5138 0.7964 -
0.6712 1.1867 0.7907
Columns 976 through 988
0.2877 0.0032 0.3656 3.5267 -0.1124 -1.5566 1.9151 0.6098 -0.6479 2.6173
0.5510 0.2942 -0.7778
Columns 989 through 1000
-1.0649 -1.7684 -0.4229 -1.0531 0.6478 -0.3176 1.7690 1.5106 0.1640 -0.2828
1.1522 -1.1465
============================
mean of row vector r:
M = mean(r)
M =
-0.0326
===========
u = rand(1,1000,'single')
u =
Columns 1 through 13

8. 0.9246 0.2238 0.3736 0.0875 0.6401 0.1806 0.0451 0.7232 0.3474 0.6606
0.3839 0.6273 0.0216
Columns 14 through 26
0.9106 0.8006 0.7458 0.8131 0.3833 0.6173 0.5755 0.5301 0.2751 0.2486
0.4516 0.2277 0.8044
Columns 27 through 39
0.9861 0.0300 0.5357 0.0871 0.8021 0.9891 0.0669 0.9394 0.0182 0.6838
0.7837 0.5341 0.8854
Columns 40 through 52
0.8990 0.6259 0.1379 0.2178 0.1821 0.0418 0.1069 0.6164 0.9397 0.3545
0.4106 0.9843 0.9456
Columns 53 through 65
0.6766 0.9883 0.7668 0.3367 0.6624 0.2442 0.2955 0.6802 0.5278 0.4116
0.6026 0.7505 0.5835
Columns 66 through 78
0.5518 0.5836 0.5118 0.0826 0.7196 0.9962 0.3545 0.9713 0.3464 0.8865
0.4547 0.4134 0.2177
Columns 79 through 91
0.1257 0.3089 0.7261 0.7829 0.6938 0.0098 0.8432 0.9223 0.7710 0.0427
0.3782 0.7043 0.7295
Columns 92 through 104
0.2243 0.2691 0.6730 0.4775 0.6237 0.2364 0.1771 0.8296 0.7669 0.9345
0.1079 0.1822 0.0991
Columns 105 through 117
0.4898 0.1932 0.8959 0.0991 0.0442 0.5573 0.7725 0.3119 0.1790 0.3390
0.2101 0.5102 0.9064
Columns 118 through 130
0.6289 0.1015 0.3909 0.0546 0.5013 0.4317 0.9976 0.8116 0.4857 0.8944
0.1375 0.3900 0.9274
Columns 131 through 143
0.9175 0.7136 0.6183 0.3433 0.9360 0.1248 0.7306 0.6465 0.8332 0.3983
0.7498 0.8352 0.3225
Columns 144 through 156
0.5523 0.9791 0.5493 0.3304 0.6195 0.3606 0.7565 0.4139 0.4923 0.6947
0.9727 0.3278 0.8378
Columns 157 through 169

9. 0.7391 0.9542 0.0319 0.3569 0.6627 0.2815 0.2304 0.7111 0.6246 0.5906
0.6604 0.0476 0.3488
Columns 170 through 182
0.4513 0.2409 0.7150 0.8562 0.2815 0.7311 0.1378 0.8367 0.1386 0.5882
0.3662 0.8068 0.5038
Columns 183 through 195
0.4896 0.8770 0.3531 0.4494 0.9635 0.0423 0.9730 0.1892 0.6671 0.5864
0.6751 0.3610 0.6203
Columns 196 through 208
0.8112 0.0193 0.0839 0.9748 0.6513 0.2312 0.4035 0.1220 0.2684 0.2578
0.3317 0.1522 0.3480
Columns 209 through 221
0.1217 0.8842 0.0943 0.9300 0.3990 0.0474 0.3424 0.7360 0.7947 0.5449
0.6862 0.8936 0.0548
Columns 222 through 234
0.3037 0.0462 0.1955 0.7202 0.7218 0.8778 0.5824 0.0707 0.9227 0.8004
0.2859 0.5437 0.9848
Columns 235 through 247
0.7157 0.8390 0.4333 0.4706 0.5607 0.2691 0.7490 0.5039 0.6468 0.3077
0.1387 0.4756 0.3625
Columns 248 through 260
0.7881 0.7803 0.6685 0.1335 0.0216 0.5598 0.3008 0.9394 0.9809 0.2866
0.8008 0.8961 0.5975
Columns 261 through 273
0.8840 0.9437 0.5492 0.7284 0.5768 0.0259 0.4465 0.6463 0.5212 0.3723
0.9371 0.8295 0.8491
Columns 274 through 286
0.3725 0.5932 0.8726 0.9335 0.6685 0.2068 0.6539 0.0721 0.4067 0.6669
0.9337 0.8110 0.4845
Columns 287 through 299
0.7567 0.4170 0.9718 0.9880 0.8641 0.3889 0.4547 0.2467 0.7844 0.8828
0.9137 0.5583 0.5989
Columns 300 through 312
0.1489 0.8997 0.4504 0.2057 0.8997 0.7626 0.8825 0.2850 0.6732 0.6643
0.1228 0.4073 0.2753
Columns 313 through 325

10. 0.7167 0.2834 0.8962 0.8266 0.3900 0.4979 0.6948 0.8344 0.6096 0.5747
0.3260 0.4564 0.7138
Columns 326 through 338
0.8844 0.7209 0.0186 0.6748 0.4385 0.4378 0.1170 0.8147 0.3249 0.2462
0.3427 0.3757 0.5466
Columns 339 through 351
0.5619 0.3958 0.3981 0.5154 0.6575 0.9509 0.7223 0.4001 0.8319 0.1343
0.0605 0.0842 0.1639
Columns 352 through 364
0.3242 0.3017 0.0117 0.5399 0.0954 0.1465 0.6311 0.8593 0.9742 0.5708
0.9969 0.5535 0.5155
Columns 365 through 377
0.3307 0.4300 0.4918 0.0710 0.8877 0.0646 0.4362 0.8266 0.3945 0.6135
0.8186 0.8862 0.9311
Columns 378 through 390
0.1908 0.2586 0.8979 0.5934 0.5038 0.6128 0.8194 0.5319 0.2021 0.4539
0.4279 0.9661 0.6201
Columns 391 through 403
0.6954 0.7202 0.3469 0.5170 0.5567 0.1565 0.5621 0.6948 0.4265 0.8363
0.7314 0.3600 0.4542
Columns 404 through 416
0.3864 0.7756 0.7343 0.4303 0.6938 0.9452 0.7842 0.7056 0.1093 0.3899
0.5909 0.4594 0.0503
Columns 417 through 429
0.2287 0.8342 0.0156 0.8637 0.0781 0.6690 0.5002 0.2180 0.5716 0.1222
0.6712 0.5996 0.0560
Columns 430 through 442
0.0563 0.1525 0.0196 0.4352 0.8322 0.6174 0.5201 0.8639 0.0977 0.9081
0.1080 0.5170 0.1432
Columns 443 through 455
0.5594 0.0046 0.7667 0.8487 0.9168 0.9870 0.5051 0.2714 0.1008 0.5078
0.5856 0.7629 0.0830
Columns 456 through 468
0.6616 0.5170 0.1710 0.9386 0.5905 0.4406 0.9419 0.6559 0.4519 0.8397
0.5326 0.5539 0.6801
Columns 469 through 481

11. 0.3672 0.2393 0.5789 0.8669 0.4068 0.1126 0.4438 0.3002 0.4014 0.8334
0.4036 0.3902 0.3604
Columns 482 through 494
0.1403 0.2601 0.0868 0.4294 0.2573 0.2976 0.4249 0.1192 0.4951 0.7064
0.2436 0.7851 0.0741
Columns 495 through 507
0.3939 0.0034 0.2207 0.0013 0.1892 0.1425 0.2681 0.1749 0.1386 0.5989
0.9011 0.9394 0.2212
Columns 508 through 520
0.4827 0.3760 0.5238 0.2649 0.0684 0.4363 0.1739 0.0261 0.9547 0.4306
0.9616 0.7624 0.0073
Columns 521 through 533
0.6800 0.7060 0.6451 0.5523 0.2181 0.7724 0.2280 0.3709 0.8909 0.8564
0.4024 0.3180 0.6086
Columns 534 through 546
0.9102 0.9091 0.5916 0.3326 0.8531 0.4424 0.9044 0.0332 0.5324 0.7165
0.1793 0.3365 0.1877
Columns 547 through 559
0.3219 0.4039 0.5486 0.0487 0.5527 0.2748 0.2415 0.2431 0.1542 0.9564
0.9357 0.8187 0.7283
Columns 560 through 572
0.1758 0.3604 0.1888 0.0012 0.3164 0.6996 0.6253 0.5431 0.4390 0.2874
0.5017 0.7615 0.7624
Columns 573 through 585
0.5761 0.7477 0.6455 0.1232 0.5044 0.3473 0.0921 0.1478 0.1982 0.6723
0.4315 0.6944 0.2568
Columns 586 through 598
0.0098 0.5323 0.2794 0.9462 0.9064 0.3927 0.0249 0.6714 0.8372 0.9715
0.0569 0.4503 0.5825
Columns 599 through 611
0.6866 0.7194 0.6500 0.7269 0.3738 0.5816 0.1161 0.0577 0.9798 0.2848
0.5950 0.9622 0.1858
Columns 612 through 624
0.1930 0.3416 0.9329 0.3907 0.2732 0.1519 0.3971 0.3747 0.1311 0.4350
0.0915 0.6146 0.0110
Columns 625 through 637

12. 0.5733 0.7897 0.2354 0.4480 0.5694 0.0614 0.4963 0.6423 0.2213 0.8371
0.9711 0.8464 0.5060
Columns 638 through 650
0.2789 0.7466 0.2369 0.9573 0.6203 0.6003 0.1726 0.0903 0.2553 0.8586
0.9111 0.6996 0.7252
Columns 651 through 663
0.2299 0.5761 0.8106 0.4038 0.9884 0.0900 0.3209 0.5114 0.0606 0.7257
0.5566 0.5294 0.8300
Columns 664 through 676
0.8588 0.7890 0.3178 0.4522 0.7522 0.1099 0.1097 0.2699 0.5246 0.9727
0.7104 0.3119 0.2915
Columns 677 through 689
0.8504 0.9116 0.6393 0.2554 0.0887 0.8383 0.5847 0.9481 0.0610 0.5846
0.2851 0.8277 0.1910
Columns 690 through 702
0.4425 0.3934 0.8266 0.6769 0.2076 0.3181 0.1338 0.6715 0.5710 0.1698
0.1477 0.4761 0.9081
Columns 703 through 715
0.5522 0.0329 0.0539 0.8051 0.4514 0.3826 0.7896 0.3643 0.5323 0.7117
0.8715 0.3287 0.6501
Columns 716 through 728
0.9748 0.0760 0.5870 0.4139 0.3091 0.2638 0.7588 0.9952 0.1866 0.7811
0.1958 0.9924 0.8023
Columns 729 through 741
0.4242 0.7289 0.4984 0.8090 0.3565 0.0732 0.5910 0.9102 0.1938 0.4324
0.7492 0.0392 0.9463
Columns 742 through 754
0.7637 0.5588 0.1838 0.4979 0.5178 0.9942 0.8549 0.9624 0.6789 0.4035
0.9350 0.4795 0.2318
Columns 755 through 767
0.3963 0.7051 0.5586 0.7566 0.9955 0.9624 0.5351 0.9639 0.1156 0.0514
0.3043 0.5802 0.5310
Columns 768 through 780
0.9012 0.5406 0.4320 0.5427 0.7124 0.0167 0.8009 0.1425 0.4785 0.2568
0.3691 0.6618 0.1696
Columns 781 through 793

13. 0.2788 0.1982 0.1951 0.3268 0.8803 0.4711 0.4040 0.1792 0.9689 0.4075
0.8445 0.6153 0.3766
Columns 794 through 806
0.8772 0.7849 0.4650 0.8140 0.8984 0.4292 0.3343 0.5966 0.9020 0.7021
0.3775 0.7350 0.9541
Columns 807 through 819
0.5428 0.5401 0.3111 0.0712 0.1820 0.0930 0.4635 0.0093 0.9150 0.6427
0.0014 0.0304 0.2085
Columns 820 through 832
0.4550 0.1273 0.0086 0.7271 0.3541 0.7804 0.4367 0.4366 0.0492 0.0496
0.0911 0.5940 0.2411
Columns 833 through 845
0.8414 0.8572 0.9636 0.4889 0.2203 0.2262 0.5368 0.7621 0.3476 0.4612
0.6393 0.9173 0.1616
Columns 846 through 858
0.7156 0.5777 0.4333 0.8842 0.3931 0.1790 0.6333 0.6240 0.3279 0.8030
0.9995 0.9810 0.1270
Columns 859 through 871
0.2322 0.0236 0.6074 0.1108 0.4075 0.8841 0.5481 0.3690 0.2083 0.4409
0.9562 0.1240 0.4708
Columns 872 through 884
0.8569 0.0434 0.6916 0.9790 0.2833 0.1338 0.6853 0.9095 0.6109 0.9000
0.1934 0.7544 0.3463
Columns 885 through 897
0.4186 0.1557 0.8190 0.6249 0.7386 0.8051 0.0672 0.9508 0.4976 0.7551
0.7424 0.8311 0.1565
Columns 898 through 910
0.4573 0.6181 0.9322 0.8351 0.8954 0.5825 0.5827 0.8549 0.0349 0.8854
0.4077 0.0364 0.7461
Columns 911 through 923
0.1548 0.1439 0.6060 0.2545 0.3242 0.4018 0.4064 0.3862 0.6098 0.1669
0.1881 0.0946 0.3232
Columns 924 through 936
0.7696 0.2341 0.7404 0.6928 0.8241 0.8280 0.2934 0.3094 0.5230 0.3253
0.8318 0.8103 0.5570
Columns 937 through 949

14. 0.2630 0.6806 0.2337 0.4564 0.3846 0.5386 0.9917 0.7552 0.9805 0.2348
0.5286 0.0514 0.7569
Columns 950 through 962
0.6020 0.8572 0.9883 0.9295 0.4095 0.0003 0.5409 0.2077 0.2193 0.3258
0.0959 0.7475 0.7485
Columns 963 through 975
0.5433 0.3381 0.8323 0.5526 0.9575 0.8928 0.3565 0.5464 0.3467 0.6228
0.7966 0.7459 0.1255
Columns 976 through 988
0.8224 0.0252 0.4144 0.7314 0.7814 0.3673 0.7449 0.8923 0.2426 0.1296
0.2251 0.3500 0.2871
Columns 989 through 1000
0.9275 0.0513 0.5927 0.1629 0.8384 0.1676 0.5022 0.9993 0.3554 0.0471
0.2137 0.3978
============
mean of u:
M_u = mean(u)
M_u =
0.5089
===========================
standard deviation of both r and u
S_r = std(r)
S_r =
0.9990
>> S_u = std(u)
S_u =
0.2860
====
form a new random vector;
Y= (U-E[x])/std(U)
for i=1:1000
Y(i)=(u(i)-M_u)/S_u;
end
>> M_Y=mean(Y)
M_Y =
6.3282e-07

15. >> S_Y = std(Y)
S_Y =
1.0000