01:09:27 Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are under 3 minutes? Find the z-table here. 6.68% 10.56% 89.44% 93.32%
01:09:27 Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are under 3 minutes? Find the z-table here. 6.68% 10.56% 89.44% 93.32%
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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Transcribed Image Text:Probability
Table entry for z is the area under the standard Normal curve to the left of z.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
.0003
.0004
.0006
.0003
.0003
.0002
.0003
.0004
.0006
.0008
.0012
.0003
.0003
.0003
.0005
.0003
.0005
.0007
.0010
.0013
.0019
.0026
.0003
-3.4
33
.0004
.0004
.0003
.0004
.0006
.0004
.0005
.0007
.0009
.0013
.0005
.0008
.0011
.0015
.0006
.0005
0005
Tool
.0006
.0009
-3.2
.0008
.0007
.0007
.0008
.0011
.0009
3.1
3.0
2.9
-2.8
-2.7
-2.6
2.5
-2.4
-2.3
-2.2
-2.1
.0010
.0010
.0012
.0017
.0023
.0013
.0011
.0014
.0015
.0021
.0029
.0018
.0018
.0016
.0016
.0014
.0020
.0027
.0037
.0021
.0019
.0025
.0034
.0045
.0060
.0080
.0104
.0136
.0174
.0024
.0033
.0044
.0023
.0022
.0030
.0040
.0054
0026
.0036
.0028
.0035
.0047
.0032
.0043
.0031
.0039
.0038
.0051
.0068
.0041
.0055
.0073
.0096
.0057
.0052
.0049
.0048
.0059
.0078
.0102
,0132
.0062
.0069
.0091
.0066
.0087
.0113
.0146
.0188
.0239
.0301
.0064
.0082
.0107
.0139
.0179
.0228
.0287
.0075
.0099
.0129
.0166
.0071
.0094
.0089
.0084
.0116
.0150
.0192
.0244
.0307
.0110
.0122
.0158
.0202
.0256
.0119
.0154
.0125
.0143
.0183
.0233
.0294
.0367
.0455
.0170
.0217
.0274
.0162
.0207
-2.0
.0222
.0212
.0268
.0336
,0197
.0250
.0314
.0392
.0485
-1.9
-1.8
-1.7
.0281
.0351
.0262
.0359
.0446
.0344
.0329
.0409
.0505
.0322
.0436
.0427
.0375
.0465
.0418
.0401
.0384
.0548
.0668
-1.6
.0537
.0526
.0516
.0495
.0475
-1.5
.0643
.0778
.0655
.0606
.0735
.0582
.0708
.0853
.0571
.0694
.0630
.0618
.0559
.0594
.0721
.0869
.1038
.1230
-1.4
.0808
.0793
.0764
.0681
.0749
.0901
.1075
-1.3
.0968
.0951
.0934
.0823
.0985
.0918
.0885
.0838
.1003
-1.2
-1.1
.1151
.1131
.1335
.1562
.1112
.1314
.1539
.1788
.2061
.1093
.1056
.1251
.1469
.1020
.1210
.1423
.1660
.1922
.2206
.1357
.1587
.1292
.1515
.1170
.1379
.1611
.1271
.1190
-1.0
-0.9
.1492
.1401
.1446
.1685
.1949
.1841
.1814
.1762
.2033
.1736
.2005
.2296
.1711
.1977
.2266
.1635
-0.8
-0.7
-0.6
2119
.2420
.2090
2389
.2709
.2358
.2676
.3015
.1894
.2177
.1867
.2148
.2327
.2236
.2743
.2643
.2611
.2578
.2912
.3264
.2546
.2877
.2514
.2483
.2810
.2451
.2776
-0.5
.3085
.3050
.2981
.3336
.2946
2843
04
.3446
3409
.3372
-0.3
-0.2
.3300
.3669
.3228
.3594
.3974
3192
3557
.3156
3520
.3121
3483
3859
.3821
3783
3745
.4129
.4522
.3707
.4090
.4483
.3632
.4207
.4168
.4052
4443
.4013
.3936
.4325
.4721
3897
-0.1
.4602
.5000
.4562
4404
.4364
4286
4247
.4641
-0.0
.4960
4920
.4880
.4840
.4801
.4761
.4681
Probability
Table entry for z is the area under the standard Normal curve to the left of z.
.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
0.1
.5000
5398
.5793
.6179
.6554
.6915
.5040
.5438
.5832
.6217
.6591
.6950
.5080
.5120
.5517
.5160
.5199
.5239
5279
.5319
5359
.5478
.5871
.5557
.5596
.5636
.6026
.6406
.6772
7123
5675
.5714
0.2
0.3
5753
.6141
.6517
.5910
.5948
.5987
.6368
.6736
7088
.6064
.6103
.6480
.6255
.6293
.6331
.6700
7054
.6443
.6808
0.4
.6628
.6985
.6664
.6844
.6879
7224
0.5
7019
7157
7190
Transcribed Image Text:01:09:27
Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as
the difference between the time a fire station receives a call and the time the first piece of fire equipment leaves the
station. The response times for fire departments in a large city are found to have an approximately Normal
distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station
response times are under 3 minutes?
Find the z-table here.
6.68%
10.56%
89.44%
93.32%
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