The table on the last page displays the cdf for continuous random variable X, which has a mcan 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 10E
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P(X <r)
0.00
0,01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0582 0.0676 0.0769
0.1479 0.1563
0.2366
0.0
0.0000
0.0100
0.0198
0.0296
0.0392 0.0488
0.0861
0.1
0.0952
0.1042
0.1131
0.1219
0.1306 0.1393
0.1647
0.1730
0.2
0.1813
0.1894
0.1975
0.2055
0.2134 0.2212
0.2289
0.2442
0.3161 0.3229
0.2517
0.3
0.2592
0.2666
0.2739
0.2811
0.2882 0.2953
0.3023 0.3093
0.4
0.3297
0.3363
0.3430
0.3495
0.3560 0.3624
0.3687
0.3750 0.3812
0.3874
0.5
0.3935
0.3995
0.4055
0.4114
0.4173 0.4231
0.4288 0.4345 0.4401
0.4457
0.6
0.4512 0.4566
0.4621
0.4674
0.4727 0.4780
0.4831
0.4883
0.4934
0.4984
0.7
0.5034 0.5084
0.5132
0.5181
0.5229 0.5276
0.5323
0.5370
0.5416 0.5462
0.8
0.5507 0.5551
0.5596
0.5640
0.5683 0.5726
0.5768 0.5810
0.5852
0.5893
0.9
0.5934
0.5975
0.6015
0.6054
0.6094
0.6133
0.6171
0.6209
0.6247
0.6604
0.6284
1.0
0.6321
0.6358
0.6394
0.6430
0.6465 0.6501
0.6535 0.6570
0.6638
1.1
0.6671
0.6704
0.6737
0.6770
0.7077
0.6802 0.6834
0.6865
0.6896 0.6927
0.6958
1.2
0.6988 0.7018
0.7048
0.7106 0.7135
0.7163 0.7192 0.7220 0.7247
1.3
0.7275
0.7302
0.7329 0.7355
0.7382 0.7408
0.7433 0.7459 0.7484 0.7509
1.4
0.7534
0.7559
0.7583
0.7607
0.7631
0.7654
0.7678
0.7701
0.7724 0.7746
1.5
0.7769 0.7791
0.7813
0.7835 0.7856 0.7878
0.7899 0.7920
0.7940
0.7961
1.6
0.7981
0.8001
0.8021
0.8041
0.8060
0.8080
0.8099
0.8118
0.8136
0.8155
1.7
0.8173 0.8191
0.8209
0.8227
0.8245
0.8262
0.8280 0.8297
0.8314
0.8330
1.8
0.8347
0.8363
0.8380
0.8396
0.8412 0.8428
0.8443 0.8459
0.8474
0.8489
1.9
0.8504 0.8519
0.8534
0.8549
0.8563 0.8577
0.8591
0.8605
0.8619
0.8633
2.0
0.8647
0.8660
0.8673 0.8687
0.8700 0.8713
0.8725 0.8738
0.8751 0.8763
2.1
0.8775
0.8788
0.8800
0.8812
0.8823 0.8835
0.8847
0.8858
0.8870
0.8881
2.2
0.8892 0.8903
0.8914
0.8925
0.8935 0.8946
0.8956 0.8967 0.8977
0.8987
2.3
0.8997
0.9007
0.9017
0.9027
0.9037
0.9046
0.9056 0.9065
0.9074
0.9084
2.4
0.9093 0.9102
0.9111
0.9120
0.9128 0.9137
0.9146 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
0.9279
0.9348
2.6
0.9257
0.9265
0.9272
0.9286 0.9293
0.9354 0.9361
0.9301
0.9307
0.9314
0.9321
2.7
0.9328
0.9335
0.9341
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
2.9
0.9450 0.9455
0.9461
0.9466
0.9471
0.9477
0.9482 0.9487
0.9492
0.9497
3.0
0.9502 0.9507
0.9512 0.9517
0.9522 0.9526
0.9531
0.9536
0.9540
0.9545
3.1
0.9550 0.9554
0.9558
0.9563 0.9567
0.9571
0.9576 0.9580
0.9584
0.9588
3.2
0.9592
0.9596
0.9600
0.9604
0.9608 0.9612
0.9616 0.9620
0.9624
0.9627
3.3
0.9631
0.9635
0.9638
0.9642
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 <r) 0.00 0,01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0582 0.0676 0.0769 0.1479 0.1563 0.2366 0.0 0.0000 0.0100 0.0198 0.0296 0.0392 0.0488 0.0861 0.1 0.0952 0.1042 0.1131 0.1219 0.1306 0.1393 0.1647 0.1730 0.2 0.1813 0.1894 0.1975 0.2055 0.2134 0.2212 0.2289 0.2442 0.3161 0.3229 0.2517 0.3 0.2592 0.2666 0.2739 0.2811 0.2882 0.2953 0.3023 0.3093 0.4 0.3297 0.3363 0.3430 0.3495 0.3560 0.3624 0.3687 0.3750 0.3812 0.3874 0.5 0.3935 0.3995 0.4055 0.4114 0.4173 0.4231 0.4288 0.4345 0.4401 0.4457 0.6 0.4512 0.4566 0.4621 0.4674 0.4727 0.4780 0.4831 0.4883 0.4934 0.4984 0.7 0.5034 0.5084 0.5132 0.5181 0.5229 0.5276 0.5323 0.5370 0.5416 0.5462 0.8 0.5507 0.5551 0.5596 0.5640 0.5683 0.5726 0.5768 0.5810 0.5852 0.5893 0.9 0.5934 0.5975 0.6015 0.6054 0.6094 0.6133 0.6171 0.6209 0.6247 0.6604 0.6284 1.0 0.6321 0.6358 0.6394 0.6430 0.6465 0.6501 0.6535 0.6570 0.6638 1.1 0.6671 0.6704 0.6737 0.6770 0.7077 0.6802 0.6834 0.6865 0.6896 0.6927 0.6958 1.2 0.6988 0.7018 0.7048 0.7106 0.7135 0.7163 0.7192 0.7220 0.7247 1.3 0.7275 0.7302 0.7329 0.7355 0.7382 0.7408 0.7433 0.7459 0.7484 0.7509 1.4 0.7534 0.7559 0.7583 0.7607 0.7631 0.7654 0.7678 0.7701 0.7724 0.7746 1.5 0.7769 0.7791 0.7813 0.7835 0.7856 0.7878 0.7899 0.7920 0.7940 0.7961 1.6 0.7981 0.8001 0.8021 0.8041 0.8060 0.8080 0.8099 0.8118 0.8136 0.8155 1.7 0.8173 0.8191 0.8209 0.8227 0.8245 0.8262 0.8280 0.8297 0.8314 0.8330 1.8 0.8347 0.8363 0.8380 0.8396 0.8412 0.8428 0.8443 0.8459 0.8474 0.8489 1.9 0.8504 0.8519 0.8534 0.8549 0.8563 0.8577 0.8591 0.8605 0.8619 0.8633 2.0 0.8647 0.8660 0.8673 0.8687 0.8700 0.8713 0.8725 0.8738 0.8751 0.8763 2.1 0.8775 0.8788 0.8800 0.8812 0.8823 0.8835 0.8847 0.8858 0.8870 0.8881 2.2 0.8892 0.8903 0.8914 0.8925 0.8935 0.8946 0.8956 0.8967 0.8977 0.8987 2.3 0.8997 0.9007 0.9017 0.9027 0.9037 0.9046 0.9056 0.9065 0.9074 0.9084 2.4 0.9093 0.9102 0.9111 0.9120 0.9128 0.9137 0.9146 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 0.9279 0.9348 2.6 0.9257 0.9265 0.9272 0.9286 0.9293 0.9354 0.9361 0.9301 0.9307 0.9314 0.9321 2.7 0.9328 0.9335 0.9341 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 2.9 0.9450 0.9455 0.9461 0.9466 0.9471 0.9477 0.9482 0.9487 0.9492 0.9497 3.0 0.9502 0.9507 0.9512 0.9517 0.9522 0.9526 0.9531 0.9536 0.9540 0.9545 3.1 0.9550 0.9554 0.9558 0.9563 0.9567 0.9571 0.9576 0.9580 0.9584 0.9588 3.2 0.9592 0.9596 0.9600 0.9604 0.9608 0.9612 0.9616 0.9620 0.9624 0.9627 3.3 0.9631 0.9635 0.9638 0.9642 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 mcan 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 mcan 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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