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 3. The retail price of a medium-sized box of cornflakes ranges from $2.80 to $3.14. Assume these prices are uniformly distributed. a) What are the average price and the standard deviation of prices in this distribution? b) If a price is randomly selected from this list, what is the probability that it will be between $3.00 and $3.10? c) If you know that the probability of price being less than c in this distribution is 15%, evaluate c.
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 3. The retail price of a medium-sized box of cornflakes ranges from $2.80 to $3.14. Assume these prices are uniformly distributed. a) What are the average price and the standard deviation of prices in this distribution? b) If a price is randomly selected from this list, what is the probability that it will be between $3.00 and $3.10? c) If you know that the probability of price being less than c in this distribution is 15%, evaluate c.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
3. The retail price of a medium-sized box of
cornflakes
these prices are uniformly distributed.
a) What are the average price and the standard
deviation of prices in this distribution?
b) If a price is randomly selected from this list,
what is the probability that it will be between $3.00
and $3.10?
c) If you know that the probability of price being
less than c in this distribution is 15%, evaluate c.
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
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
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