Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 89 minutes? The probability that a randomly selected time interval is longer than 89 minutes is approximately 0.3085 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 6 time intervals is more than 89 minutes is approximately 0.1112 . (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 18 time intervals is more than 89 minutes is approximately- (Round to four decimal places as needed.)

Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 18 minutes, answer the following questions. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 89 minutes? The probability that a randomly selected time interval is longer than 89 minutes is approximately 0.3085 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 6 time intervals is more than 89 minutes is approximately 0.1112 . (Round to four decimal places as needed.) (c) What is the probability that a random sample of 18 time intervals between eruptions has a mean longer than 89 minutes? The probability that the mean of a random sample of 18 time intervals is more than 89 minutes is approximately- (Round to four decimal places as needed.)

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

Standard Normal Distribution Table (page 2)
Area
Standard Nomal Distribution
0,00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.0
0.1
0.2
0.5000
0.5398
0.5793
0.6179
0.6554
0.5040
0.5438
0.5832
0.5080
0.5478
0.5871
0.6255
0.6628
0.5120
0.5517
0.5910
0.6293
0.6664
0.5160
0.5557
0.5948
0.5199
0.5596
0.5987
0.6368
0.6736
0.5239
0.5636
0.6026
0.6406
0.6772
0.5279
0.5675
0.6064
0.6443
0.6808
0.5319
0.5714
0.6103
0.6480
0.6844
0,5359
0.5753
0.6141
0.3
0.4
0.6217
0.6591
0.6331
0.6700
0.6517
0.6879
0.6915
0.7257
0.7580
0.6985
0.7324
0.7642
0.7939
0.8212
0.7019
0.7357
0.7673
0.7967
0.8238
0.7054
0.7389
0.7704
0.7995
0.8264
0.7157
0.7486
0.7794
0.5
0.6950
0.7291
0.7611
0.7910
0.8186
0.7088
0.7422
0.7734
0.8023
0.8289
0.7123
0.7454
0.7764
0.7190
0.7517
0.7823
0.8106
0.8365
0,7224
0.7549
0.7852
0.8133
0,8389
0.6
0.7
0.8
0.9
0.7881
0,8159
0.8051
0.8315
0.8078
0.8340
1.0
1.1
1.2
0,8413
0,8643
0.8849
0.0032
0.8438
0,8665
0,8869
0.8461
0,8686
0.8888
0.9066
0,9222
0.8485
0.8708
0.8907
0.8508
0.8729
0.8925
0.9099
0.9251
0.8531
0,8749
0.8944
0.8554
0.8770
0,8962
0.8577
0.8790
0.8980
0.8599
0.8810
0.8997
0.9162
0,9306
0.8621
0.8830
0.9015
1.3
1.4
0.9049
0.9207
0.9082
0.9236
0.9115
0.9265
0.9131
0,9279
0.9147
0.9292
0.9177
0.9319
0,9192
0.9345
0.9463
0.9564
0.9357
0.9474
0.9573
0.9656
0.9726
0.9370
0,9484
0.9582
0.9664
0.9732
0.9382
0.9495
0.9591
0.9671
0.9738
0.9394
0.9505
0.9599
0.9678
0.9744
0.9406
0.9515
0.9608
0.9686
0.9750
0.9418
0.9525
0.9616
0.9693
0.9756
0.9429
0.9535
0.9625
0.9699
0.9761
1.5
0.9332
1.6
1.7
0.9452
0.9554
0.9441
0.9545
0.9633
1.8
1.9
0.9641
0.9713
0.9706
0.9767
0.9649
0.9719
2.0
2.1
2.2
2.3
0.9772
0.9821
0.9861
0.9893
0,9918
0.9778
0.9826
0.9864
0.9783
0.9830
0.9868
0.9898
0.9922
0.9788
0.9834
0.9871
0,9901
0.9925
0.9793
0.9838
0.9875
0.9904
0.9927
0.9798
0.9842
0.9878
0,9906
0.9929
0.9803
0.9846
0.9881
0.9808
0.9850
0.9884
0.9911
0.9932
0.9812
0.9854
0.9887
0.9817
0.9857
0,9890
0.9896
0.9920
0.9909
0.9931
0,9913
0,9934
0,9916
0,9936
2.4
0.9938
0.9953
0.9965
0.9974
0.9981
0,9943
0.9957
0.9968
0.9977
0.9983
0.9949
0.9962
0.9972
0.9979
0.9985
0.9951
0.9940
0.9955
0.9966
0.9975
0.9982
0.9941
0.9956
0.9967
0.9976
0.9945
0.9959
0.9969
0.9977
0.9984
0.9946
0.9960
0.9970
0.9978
0.9984
0.9948
0.9961
0.9971
0.9979
0.9985
0.9952
0.9964
0.9974
0.9981
0.9986
2.5
2.6
0.9963
0.9973
0.9980
0.9986
2.7
2.8
2.9
0.9982
0.9987
0.9991
0.9994
0.9995
0,9997
0.9987
0,9990
0.9987
0,9991
3.0
3.1
3.2
0.9993
0.9995
0.9997
0.9993
0.9995
0.9997
0.9988
0,9991
0.9994
0.9996
0.9997
0.9988
0.9992
0.9994
0.9996
0.9997
0.9989
0,9992
0.9994
0.9996
0.9997
0.9989
0,9992
0.9994
0.9996
0.9997
0.9989
0,9992
0.9995
0.9996
0.9997
0.9990
0.9993
0.9995
0,9996
0.9997
0.9990
0,9993
0.9995
0.9997
0.9998
3.3
sw
3.4
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Print
Done

Suppose a geyser has a mean time between eruptions of 80 minutes. If the interval of time between the eruptions is normally distributed with standard deviation
18 minutes, answer the following questions.
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) What is the probability that a randomly selected time interval between eruptions is longer than 89 minutes?
The probability that a randomly selected time interval is longer than 89 minutes is approximately 0.3085. (Round to four decimal places as needed.)
(b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 89 minutes?
The probability that the mean of a random sample of 6 time intervals is more than 89 minutes is approximately 0.1112. (Round to four decimal places as needed.)
(c) What is the probability that a random sample of 18 time intervals between eruptions has a mean longer than 89 minutes?
The probability that the mean of a random sample of 18 time intervals is more than 89 minutes is approximately
|- (Round to four decimal places as needed.)
Standard Normal Distribution Table (page 1)
Area-
Standard Normal Distribution
0.00
0.01
0.02
0.03
0.04
0,05
0.06
0.07
0.08
0.09
0.0003
0.0003
0.0005
0.0007
0.0003
0.0005
0.0003
0.0004
0.0003
-3.4
-33
-32
0.0003
0.0005
0.0007
0.0003
0.0004
0.0003
0.0004
0.0006
0.0003
0.0002
0.0003
0.0005
0.0004
0.0004
0.0004
0.0006
0.0006
0.0006
0.0005
-3.1
-30
0.0010
0.0013
0.0009
0.0013
0.0009
0.0013
0.0009
0.0012
0.0008
0.0012
0.0008
0.0011
0.0006
0.0008
0.0011
0.0008
0.0011
0.0005
0.0007
0.0010
0.0007
0.0010
-29
-28
-2.7
0.0019
0.0026
0.0035
0.0018
0.0025
0.0034
0.0018
0.0024
0.0033
0.0017
0.0023
0.0032
0.0016
0.0023
0.0031
0.0016
0.0022
0.0030
0.0015
0.0021
0.0029
0.0039
0.0052
0.0015
0.0021
0.0028
0.0038
0.0051
0.0014
0.0020
0.0027
0.0037
0.0049
0.0014
0.0019
0.0026
-26
-2.5
0.0047
0.0062
0.0045
0.0060
0.0044
0.0059
0.0043
0.0057
0.0041
0.0055
0.0040
0.0036
0.0048
0.0054
-24
-2.3
-2.2
-2.1
-2.0
0.0082
0.0107
0.0139
0.0179
0.0228
0.0080
0.0104
0.0136
0.0174
0.0222
0.0078
0.0102
0.0132
0.0170
0.0217
0.0075
0.0099
0.0129
0.0073
0.0096
0.0125
0.0162
0.0207
0.0071
0.0094
0.0122
0.0158
0.0202
0.0069
0.0091
0.0119
0.0154
0.0197
0.0068
0.0089
0.0116
0.0150
0.0192
0.0066
0.0087
0.0113
0.0146
0.0188
0.0064
0.0084
0.0110
0.0143
0.0183
0.0166
0.0212
-1.9
-L.8
-1.7
0.0287
0.0359
0.0446
0.0548
0.0668
0.0281
0.0351
0.0436
0.0537
0.0655
0.0274
0.0344
0.0427
0.0526
0.0643
0.0268
0.0336
0.0418
0.0516
0.0630
0.0262
0.0329
0.0409
0.0505
0.0618
0.0256
0.0322
0.0250
0.0314
0.0392
0.0485
0.0594
0.0244
0.0307
0.0384
0.0475
0.0582
0.0239
0.0301
0.0375
0.0465
0.0571
0.0233
0.0294
0.0367
0.0455
0.0559
0.0401
0.0495
0.0606
-1.6
-1.5
-14
-13
-1.2
0.0808
0.0968
0.1151
0.1357
0.1587
0.0793
0.0951
0.1131
0.1335
0.1562
0.0778
0.0934
0.1112
0.1314
0.1539
0.0764
0.0918
0.1093
0.1292
0.1515
0.0749
0.0901
0.1075
0.1271
0.1492
0.0735
0.0885
0.1056
0.1251
0.1469
0.0721
0.0869
0.1038
0.1230
0.1446
0.0708
0.0853
0.1020
0.1210
0.1423
0.0694
0.0838
0.1003
0.1190
0.1401
0.0681
0.0823
0.0985
0.1170
0.1379
-1.1
-1.0
0.1841
0.2119
0.2420
0.2743
0.3085
0.1814
0.2090
0.2389
0.2709
0.3050
0.1788
0.2061
0.2358
0.2676
0.3015
0.1762
0.2033
0.2327
0.2643
0.2981
0.1736
0.2005
0.2296
0.2611
0.2946
0.1711
0.1977
0.2266
0.2578
0.2912
0.1685
0.1949
0.2236
0.2546
0.2877
0.1660
0.1922
0.2206
0.2514
0.2843
0.1635
0.1894
0.2177
0.2483
0.2810
-09
0.1611
-08
-0.7
0.1867
0.2148
0.2451
0.2776
-06
-0.5
Enter your answer i
0.3446
0.3821
0.4207
0.4602
0.5000
0.3409
0.3783
0.4168
0.4562
0.4960
0.3372
0.3745
0.4129
0.4522
0.4920
0.3336
0.3707
0.4090
0.4483
0.4880
0.3300
0.3669
0.4052
0.4443
0.4840
0.3264
0.3632
0.4013
0.4404
0.3228
0.3594
0.3974
04364
0.4761
0.3192
0.3557
0.3936
0.4325
0.4721
0.3156
0.3520
0.3897
0.4286
0.4681
0.3121
0.3483
0.3859
-04
2 parts
remaining
-03
-0.2
-0.1
0.4247
0.4641
swer
-0.0
0.4801
0,00
0.01
0.02
0,03
0.04
0.05
0.06
0.07
0,08
0.09

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