To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps. Clearly explain and justify the solution using proper terminology and notation. Please, I need your help. Thanks 4. During the dry month of August, one Canadian city has measurable rain on average only 2 days per month. Suppose the arrival of rainy days is Poisson distributed in this city during the month of August. a) What is the average number of days that will pass between measurable rain? b) What is the probability during this month that there will be a period of less than 2 days between rain? c) Determine the number of days, d, such that P(x>d) is 50%.
To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps. Clearly explain and justify the solution using proper terminology and notation. Please, I need your help. Thanks 4. During the dry month of August, one Canadian city has measurable rain on average only 2 days per month. Suppose the arrival of rainy days is Poisson distributed in this city during the month of August. a) What is the average number of days that will pass between measurable rain? b) What is the probability during this month that there will be a period of less than 2 days between rain? c) Determine the number of days, d, such that P(x>d) is 50%.
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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Question
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To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps.
Clearly explain and justify the solution using proper terminology and notation.
Please, I need your help. Thanks
4. During the dry month of August, one Canadian city
has measurable rain on average only 2 days per
month. Suppose the arrival of rainy days is Poisson
distributed in this city during the month of August.
a) What is the average number of days that will pass
between measurable rain?
b) What is the probability during this month that there
will be a period of less than 2 days between rain?
c) Determine the number of days, d, such that
P(x>d) is 50%.
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.
Z
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
-3.9
.00005
.00005
.00004
.00004
.00004
.00004
.00004
.00004
.00003
.00003
-3.8
.00007
.00007
.00007
.00006
.00006
.00006
.00006
.00005
.00005
.00005
-3.7
.00011
.00010
.00010
.00010
.00009
.00009
.00008
.00008
.00008
.00008
-3.6
.00016
.00015
.00015
.00014
.00014
.00013
.00013
.00012
.00012
.00011
-3.5
.00023
.00022
.00022
.00021
.00020
.00019
.00019
.00018
.00017
.00017
-3.4
.00034
.00032
.00031
.00030
.00029
.00028
.00027
.00026
.00025
.00024
-3.3
.00048
.00047
.00045
.00043
.00042
.00040
.00039
.00038
.00036
.00035
-3.2
.00069
.00066
.00064
.00062
.00060
.00058
.00056
.00054
.00052
.00050
-3.1
.00097
.00094
.00090
.00087
.00084
.00082
.00079
.00076
.00074
.00071
-3.0
.00135
.00131
.00126
.00122
.00118
.00114
.00111
.00107
.00104
.00100
-2.9
.00187
.00181
.00175
.00169
.00164
.00159
.00154
.00149
.00144
.00139
-2.8
.00256
.00248
.00240
.00233
.00226
.00219
.00212
.00205
.00199
.00193
-2.7
.00347
.00336
.00326
.00317
.00307
.00298
.00289
.00280
.00272
.00264
-2.6
.00466
.00453
.00440
.00427
.00415
.00402
.00391
.00379
.00368
.00357
-2.5
.00621
.00604
.00587
.00570
.00554
.00539
.00523
.00508
.00494
.00480
-2.4
.00820
.00798
.00776
.00755
.00734
.00714
.00695
.00676
.00657
.00639
-2.3
.01072
.01044
.01017
.00990
.00964
.00939
.00914
.00889
.00866
.00842
-2.2
.01390
.01355
.01321
.01287
.01255
.01222
.01191
.01160
.01130
.01101
-2.1
.01786
.01743
.01700
.01659
.01618
.01578
.01539
.01500
.01463
.01426
-2.0
.02275
.02222
.02169
.02118
.02068
.02018
.01970
.01923
.01876
.01831
-1.9
.02872
.02807
.02743
.02680
.02619
.02559
.02500
.02442
.02385
.02330
-1.8
.03593
.03515
.03438
.03362
.03288
.03216
.03144
.03074
.03005
.02938
-1.7
.04457
.04363
.04272
.04182
.04093
.04006
.03920
.03836
.03754
.03673
-1.6
.05480
.05370
.05262
.05155
.05050
.04947
.04846
.04746
.04648
.04551
-1.5
.06681
.06552
.06426
.06301
.06178
.06057
.05938
.05821
.05705
.05592
-1.4
.08076
.07927
.07780
.07636
.07493
.07353
.07215
.07078
.06944
.06811
-1.3
.09680
.09510
.09342
.09176
.09012
.08851
.08691
.08534
.08379
.08226
-1.2
.11507
.11314
.11123
.10935
.10749
.10565
.10383
.10204
.10027
.09853
-1.1
.13567
.13350
.13136
.12924
.12714
.12507
.12302
.12100
.11900
.11702
-1.0
.15866
.15625
.15386
.15151
.14917
.14686
.14457
.14231
.14007
.13786
-0.9
.18406
.18141
.17879
.17619
.17361
.17106
.16853
.16602
.16354
.16109
-0.8
.21186
.20897
.20611
.20327
.20045
.19766
.19489
.19215
.18943
.18673
-0.7
.24196
.23885
.23576
.23270
.22965
.22663
.22363
.22065
.21770
.21476
-0.6
.27425
.27093
.26763
.26435
.26109
.25785
.25463
.25143
.24825
.24510
-0.5
.30854
.30503
.30153
.29806
.29460
.29116
.28774
.28434
.28096
.27760
-0.4
.34458
.34090
.33724
.33360
.32997
.32636
.32276
.31918
.31561
.31207
-0.3
.38209
.37828
.37448
.37070
.36693
.36317
.35942
.35569
.35197
.34827
-0.2
.42074
.41683
.41294
.40905
.40517
.40129
.39743
.39358
.38974
.38591
-0.1
.46017
.45620
.45224
.44828
.44433
.44038
.43644
.43251
.42858
.42465
-0.0
.50000
.49601
.49202
.48803
.48405
48006
.47608
.47210
.46812
.46414
Transcribed Image Text:STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.50000
.50399
.50798
.51197
.51595
.51994
.52392
.52790
.53188
.53586
0.1
.53983
.54380
.54776
.55172
.55567
.55962
.56356
.56749
.57142
.57535
0.2
.57926
.58317
.58706
.59095
.59483
.59871
.60257
.60642
.61026
.61409
0.3
.61791
.62172
.62552
.62930
.63307
.63683
.64058
.64431
.64803
.65173
0.4
.65542
.65910
.66276
.66640
.67003
.67364
.67724
.68082
.68439
.68793
0.5
.69146
.69497
.69847
.70194
.70540
.70884
.71226
.71566
.71904
.72240
0.6
.72575
.72907
.73237
.73565
.73891
.74215
.74537
.74857
.75175
.75490
0.7
.75804
.76115
.76424
.76730
.77035
.77337
.77637
.77935
.78230
.78524
0.8
.78814
.79103
.79389
.79673
.79955
.80234
.80511
.80785
.81057
.81327
0.9
.81594
.81859
.82121
82381
82639
.82894
.83147
.83398
83646
.83891
1.0
.84134
.84375
.84614
.84849
.85083
.85314
.85543
.85769
.85993
.86214
1.1
.86433
.86650
.86864
.87076
.87286
.87493
.87698
.87900
.88100
.88298
1.2
.88493
.88686
.88877
.89065
.89251
.89435
.89617
.89796
.89973
.90147
1.3
.90320
.90490
.90658
.90824
.90988
.91149
.91309
.91466
.91621
.91774
1.4
.91924
.92073
.92220
.92364
.92507
.92647
.92785
.92922
.93056
.93189
1.5
.93319
.93448
.93574
93699
.93822
.93943
.94062
.94179
.94295
.94408
1.6
.94520
.94630
.94738
.94845
.94950
.95053
.95154
.95254
.95352
.95449
1.7
.95543
.95637
.95728
.95818
.95907
.95994
.96080
.96164
.96246
.96327
1.8
.96407
.96485
.96562
.96638
.96712
.96784
.96856
.96926
.96995
.97062
1.9
.97128
.97193
.97257
.97320
.97381
.97441
.97500
.97558
.97615
.97670
2.0
.97725
.97778
.97831
.97882
.97932
.97982
.98030
.98077
.98124
.98169
2.1
.98214
.98257
.98300
.98341
.98382
.98422
.98461
.98500
.98537
.98574
2.2
.98610
.98645
.98679
.98713
.98745
.98778
.98809
.98840
.98870
.98899
2.3
.98928
.98956
.98983
.99010
.99036
.99061
.99086
.99111
.99134
.99158
2.4
.99180
.99202
.99224
.99245
.99266
.99286
.99305
.99324
.99343
.99361
2.5
.99379
.99396
.99413
.99430
.99446
.99461
.99477
.99492
.99506
.99520
2.6
.99534
.99547
.99560
.99573
.99585
.99598
.99609
.99621
.99632
.99643
2.7
.99653
.99664
.99674
.99683
.99693
.99702
.99711
.99720
.99728
.99736
2.8
.99744
.99752
.99760
.99767
.99774
.99781
.99788
.99795
.99801
.99807
2.9
.99813
.99819
.99825
.99831
99836
.99841
.99846
.99851
99856
.99861
3.0
.99865
.99869
.99874
.99878
.99882
.99886
.99889
.99893
.99896
.99900
3.1
.99903
.99906
.99910
.99913
.99916
.99918
.99921
.99924
.99926
.99929
3.2
.99931
.99934
.99936
.99938
.99940
.99942
.99944
.99946
.99948
.99950
3.3
.99952
.99953
.99955
.99957
.99958
.99960
.99961
.99962
.99964
.99965
3.4
.99966
.99968
.99969
.99970
.99971
.99972
.99973
99974
.99975
.99976
3.5
.99977
.99978
.99978
.99979
.99980
.99981
.99981
.99982
.99983
.99983
3.6
.99984
.99985
.99985
.99986
.99986
.99987
.99987
.99988
.99988
.99989
3.7
.99989
.99990
.99990
.99990
.99991
.99991
.99992
.99992
.99992
.99992
3.8
.99993
.99993
.99993
.99994
.99994
.99994
.99994
.99995
.99995
.99995
3.9
.99995
.99995
.99996
.99996
.99996
.99996
.99996
.99996
.99997
.99997
a in
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