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)0.000.010.020.030.040.050.060.070.080.090.00.00000.01000.01980.02960.03920.04880.05820.06760.07690.08610.12190.20550.10.09520.10420.11310.13060.13930.14790.15630.16470.17300.21340.28820.20.18130.18940.19750.22120.22890.23660.24420.25170.30.25920.26660.27390.28110.29530.30230.30930.31610.32290.40.32970.33630.34300.34950.35600.36240.36870.37500.38120.38740.39350.45120.50.39950.40550.41140.4173 0.42310.42880.43450.44010.44570.49340.54160.60.45660.46210.46740.4727 0.47800.48310.48830.49840.70.50340.50840.51320.51810.52290.52760.53230.53700.54620.80.55070.55510.55960.58520.58930.56400.60540.56830.57260.57680.58100.59340.63210.59750.63580.90.60150.60940.61330.61710.62090.62470.62840.63940.66040.64300.67701.00.64650.65010.65350.65700.66381.10.66710.67040.67370.68020.68340.68650.68960.69270.69580.70770.73551.20.6988 0.70180.70480.71060.71350.7382 0.74080.72200.71920.71630.7433 0.74590.72471.373020.75091.40.75340.75590.76540.7856 0.78780.80800.75830.76070.76310.76780.77010.77240.77460.78350.80411.50.77690.77910.78990.78130.80210.79610.81550.79200.79401.60.7981 0.80010.80600.80990.81180.81360.82620.84281.70.81730.81910.82090.82270.82450.82800.82970.83140.83301.80.83470.83630.83800.83960.84120.84430.84590.84740.84890.85190.85490.86050.87381.90.85040.85340.85630.85770.85910.86190.86330.86472.00.87750.86730.86870.87000.87130.87250.87630.88810.86600.87512.10.87880.88000.88120.88230.88350.88470.88580.88702.20.88920.89030.89140.89250.89350.89460.89560.89670.89770.89870.90270.91200.90560.91462.30.90460.89970.90930.90070.90170.90370.90650.90740.90842.40.91020.91110.91280.91370.91540.91630.91712.50.91790.91870.91950.92030.92110.92190.92270.92350.92420.92500.9286 0.9293- 0.93010.92570.93282.60.92650.92720.92790.93070.93140.93212.70.93350.93410.93480.93540.93610.93670.93730.93800.93862.80.93920.93980.94040.94100.94160.94220.94270.94330.94390.94440.94710.95222.90.94500.94550.94610.94660.94770.94820.94870.9492 0.94970.95400.95843.00.95020.95070.95120.95170.95260.95310.95360.95450.95883.10.95500.95540.95580.95630.95670.95710.95760.95803.20.96040.96420.95920.95960.96000.96080.96120.96160.96200.96240.96273.30.96310.96350.96380.96460.96490.96530.96560.96600.96633.40.96660.96700.96730.96760.96790.96830.96860.96890.96920.9695 NT #1The table on the last page displays the cdf for continuous random variable X, which has a meanof 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.

Name: The question c ask to find the median of X. You cannot derive accurate
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Description: 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)0.000.010.020.030.040.050.060.070.080.090.00.00000.01000.01980.02960.03920.04880.05820.

We know, the median divides the data into two equal parts, therefore, If PX≤x=PX≥x=0.5, then x is…

Answered: The table on the last page displays the…

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

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.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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