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
C
Transcribed Image Text: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
Transcribed Image Text: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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