The table on the last page displays the cdf for continuous random variable X, which has a mean of 1 and standard deviation of 1. a) What is P(0 3)? c) What is the median of X? d) Is X normally distributed? Explain briefly.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The question c ask to find the median of X. You cannot derive accurate value of the median, but you can write the answer as the median is between a and b.
P(X < x)
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.0000
0.0100
0.0198
0.0296
0.0392
0.0488
0.0582
0.0676
0.0769
0.0861
0.1219
0.2055
0.1
0.0952
0.1042
0.1131
0.1306
0.1393
0.1479
0.1563
0.1647
0.1730
0.2134
0.2882
0.2
0.1813
0.1894
0.1975
0.2212
0.2289
0.2366
0.2442
0.2517
0.3
0.2592
0.2666
0.2739
0.2811
0.2953
0.3023
0.3093
0.3161
0.3229
0.4
0.3297
0.3363
0.3430
0.3495
0.3560
0.3624
0.3687
0.3750
0.3812
0.3874
0.3935
0.4512
0.5
0.3995
0.4055
0.4114
0.4173 0.4231
0.4288
0.4345
0.4401
0.4457
0.4934
0.5416
0.6
0.4566
0.4621
0.4674
0.4727 0.4780
0.4831
0.4883
0.4984
0.7
0.5034
0.5084
0.5132
0.5181
0.5229
0.5276
0.5323
0.5370
0.5462
0.8
0.5507
0.5551
0.5596
0.5852
0.5893
0.5640
0.6054
0.5683
0.5726
0.5768
0.5810
0.5934
0.6321
0.5975
0.6358
0.9
0.6015
0.6094
0.6133
0.6171
0.6209
0.6247
0.6284
0.6394
0.6604
0.6430
0.6770
1.0
0.6465
0.6501
0.6535
0.6570
0.6638
1.1
0.6671
0.6704
0.6737
0.6802
0.6834
0.6865
0.6896
0.6927
0.6958
0.7077
0.7355
1.2
0.6988 0.7018
0.7048
0.7106
0.7135
0.7382 0.7408
0.7220
0.7192
0.7163
0.7433 0.7459
0.7247
1.3
7302
0.7509
1.4
0.7534
0.7559
0.7654
0.7856 0.7878
0.8080
0.7583
0.7607
0.7631
0.7678
0.7701
0.7724
0.7746
0.7835
0.8041
1.5
0.7769
0.7791
0.7899
0.7813
0.8021
0.7961
0.8155
0.7920
0.7940
1.6
0.7981 0.8001
0.8060
0.8099
0.8118
0.8136
0.8262
0.8428
1.7
0.8173
0.8191
0.8209
0.8227
0.8245
0.8280
0.8297
0.8314
0.8330
1.8
0.8347
0.8363
0.8380
0.8396
0.8412
0.8443
0.8459
0.8474
0.8489
0.8519
0.8549
0.8605
0.8738
1.9
0.8504
0.8534
0.8563
0.8577
0.8591
0.8619
0.8633
0.8647
2.0
0.8775
0.8673
0.8687
0.8700
0.8713
0.8725
0.8763
0.8881
0.8660
0.8751
2.1
0.8788
0.8800
0.8812
0.8823
0.8835
0.8847
0.8858
0.8870
2.2
0.8892
0.8903
0.8914
0.8925
0.8935
0.8946
0.8956
0.8967
0.8977
0.8987
0.9027
0.9120
0.9056
0.9146
2.3
0.9046
0.8997
0.9093
0.9007
0.9017
0.9037
0.9065
0.9074
0.9084
2.4
0.9102
0.9111
0.9128
0.9137
0.9154
0.9163
0.9171
2.5
0.9179
0.9187
0.9195
0.9203
0.9211
0.9219
0.9227
0.9235
0.9242
0.9250
0.9286 0.9293- 0.9301
0.9257
0.9328
2.6
0.9265
0.9272
0.9279
0.9307
0.9314
0.9321
2.7
0.9335
0.9341
0.9348
0.9354
0.9361
0.9367
0.9373
0.9380
0.9386
2.8
0.9392
0.9398
0.9404
0.9410
0.9416
0.9422
0.9427
0.9433
0.9439
0.9444
0.9471
0.9522
2.9
0.9450
0.9455
0.9461
0.9466
0.9477
0.9482
0.9487
0.9492 0.9497
0.9540
0.9584
3.0
0.9502
0.9507
0.9512
0.9517
0.9526
0.9531
0.9536
0.9545
0.9588
3.1
0.9550
0.9554
0.9558
0.9563
0.9567
0.9571
0.9576
0.9580
3.2
0.9604
0.9642
0.9592
0.9596
0.9600
0.9608
0.9612
0.9616
0.9620
0.9624
0.9627
3.3
0.9631
0.9635
0.9638
0.9646
0.9649
0.9653
0.9656
0.9660
0.9663
3.4
0.9666
0.9670
0.9673
0.9676
0.9679
0.9683
0.9686
0.9689
0.9692
0.9695
Transcribed Image Text:P(X < x) 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0100 0.0198 0.0296 0.0392 0.0488 0.0582 0.0676 0.0769 0.0861 0.1219 0.2055 0.1 0.0952 0.1042 0.1131 0.1306 0.1393 0.1479 0.1563 0.1647 0.1730 0.2134 0.2882 0.2 0.1813 0.1894 0.1975 0.2212 0.2289 0.2366 0.2442 0.2517 0.3 0.2592 0.2666 0.2739 0.2811 0.2953 0.3023 0.3093 0.3161 0.3229 0.4 0.3297 0.3363 0.3430 0.3495 0.3560 0.3624 0.3687 0.3750 0.3812 0.3874 0.3935 0.4512 0.5 0.3995 0.4055 0.4114 0.4173 0.4231 0.4288 0.4345 0.4401 0.4457 0.4934 0.5416 0.6 0.4566 0.4621 0.4674 0.4727 0.4780 0.4831 0.4883 0.4984 0.7 0.5034 0.5084 0.5132 0.5181 0.5229 0.5276 0.5323 0.5370 0.5462 0.8 0.5507 0.5551 0.5596 0.5852 0.5893 0.5640 0.6054 0.5683 0.5726 0.5768 0.5810 0.5934 0.6321 0.5975 0.6358 0.9 0.6015 0.6094 0.6133 0.6171 0.6209 0.6247 0.6284 0.6394 0.6604 0.6430 0.6770 1.0 0.6465 0.6501 0.6535 0.6570 0.6638 1.1 0.6671 0.6704 0.6737 0.6802 0.6834 0.6865 0.6896 0.6927 0.6958 0.7077 0.7355 1.2 0.6988 0.7018 0.7048 0.7106 0.7135 0.7382 0.7408 0.7220 0.7192 0.7163 0.7433 0.7459 0.7247 1.3 7302 0.7509 1.4 0.7534 0.7559 0.7654 0.7856 0.7878 0.8080 0.7583 0.7607 0.7631 0.7678 0.7701 0.7724 0.7746 0.7835 0.8041 1.5 0.7769 0.7791 0.7899 0.7813 0.8021 0.7961 0.8155 0.7920 0.7940 1.6 0.7981 0.8001 0.8060 0.8099 0.8118 0.8136 0.8262 0.8428 1.7 0.8173 0.8191 0.8209 0.8227 0.8245 0.8280 0.8297 0.8314 0.8330 1.8 0.8347 0.8363 0.8380 0.8396 0.8412 0.8443 0.8459 0.8474 0.8489 0.8519 0.8549 0.8605 0.8738 1.9 0.8504 0.8534 0.8563 0.8577 0.8591 0.8619 0.8633 0.8647 2.0 0.8775 0.8673 0.8687 0.8700 0.8713 0.8725 0.8763 0.8881 0.8660 0.8751 2.1 0.8788 0.8800 0.8812 0.8823 0.8835 0.8847 0.8858 0.8870 2.2 0.8892 0.8903 0.8914 0.8925 0.8935 0.8946 0.8956 0.8967 0.8977 0.8987 0.9027 0.9120 0.9056 0.9146 2.3 0.9046 0.8997 0.9093 0.9007 0.9017 0.9037 0.9065 0.9074 0.9084 2.4 0.9102 0.9111 0.9128 0.9137 0.9154 0.9163 0.9171 2.5 0.9179 0.9187 0.9195 0.9203 0.9211 0.9219 0.9227 0.9235 0.9242 0.9250 0.9286 0.9293- 0.9301 0.9257 0.9328 2.6 0.9265 0.9272 0.9279 0.9307 0.9314 0.9321 2.7 0.9335 0.9341 0.9348 0.9354 0.9361 0.9367 0.9373 0.9380 0.9386 2.8 0.9392 0.9398 0.9404 0.9410 0.9416 0.9422 0.9427 0.9433 0.9439 0.9444 0.9471 0.9522 2.9 0.9450 0.9455 0.9461 0.9466 0.9477 0.9482 0.9487 0.9492 0.9497 0.9540 0.9584 3.0 0.9502 0.9507 0.9512 0.9517 0.9526 0.9531 0.9536 0.9545 0.9588 3.1 0.9550 0.9554 0.9558 0.9563 0.9567 0.9571 0.9576 0.9580 3.2 0.9604 0.9642 0.9592 0.9596 0.9600 0.9608 0.9612 0.9616 0.9620 0.9624 0.9627 3.3 0.9631 0.9635 0.9638 0.9646 0.9649 0.9653 0.9656 0.9660 0.9663 3.4 0.9666 0.9670 0.9673 0.9676 0.9679 0.9683 0.9686 0.9689 0.9692 0.9695
NT #1
The table on the last page displays the cdf for continuous random variable X, which has a mean
of 1 and standard deviation of 1.
a) What is P(0 <X<2)?
b) What is P(X>3)?
c) What is the median of X?
d) Is X normally distributed? Explain briefly.
Transcribed Image Text:NT #1 The table on the last page displays the cdf for continuous random variable X, which has a mean of 1 and standard deviation of 1. a) What is P(0 <X<2)? b) What is P(X>3)? c) What is the median of X? d) Is X normally distributed? Explain briefly.
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