Assignment:
Given the information below, estimate the probability that the noncritical path B-F-G will take more than 20 weeks. ?
The table below shows the total area under the normal curve for a point that is Z standard deviations to the right of the mean.
|
Z
|
0.00
|
0.01
|
0.02
|
0.03
|
0.04
|
0.05
|
0.06
|
0.07
|
0.08
|
0.09
|
|
0.0
|
0.5000
|
0.5040
|
0.5080
|
0.5120
|
0.5160
|
0.5199
|
0.5239
|
0.5279
|
0.5319
|
0.5359
|
|
0.1
|
0.5398
|
0.5438
|
0.5478
|
0.5517
|
0.5557
|
0.5596
|
0.5636
|
0.5675
|
0.5714
|
0.5754
|
|
0.2
|
0.5793
|
0.5832
|
0.5871
|
0.5910
|
0.5948
|
0.5987
|
0.6026
|
0.6064
|
0.6103
|
0.6141
|
|
0.3
|
0.6179
|
0.6217
|
0.6255
|
0.6293
|
0.6331
|
0.6368
|
0.6406
|
0.6443
|
0.6480
|
0.6517
|
|
0.4
|
0.6554
|
0.6591
|
0.6628
|
0.6664
|
0.6700
|
0.6736
|
0.6772
|
0.6808
|
0.6844
|
0.6879
|
|
0.5
|
0.6915
|
0.6950
|
0.6985
|
0.7019
|
0.7054
|
0.7088
|
0.7123
|
0.7157
|
0.7190
|
0.7224
|
|
0.6
|
0.7258
|
0.7291
|
0.7324
|
0.7357
|
0.7389
|
0.7422
|
0.7454
|
0.7486
|
0.7518
|
0.7549
|
|
0.7
|
0.7580
|
0.7612
|
0.7642
|
0.7673
|
0.7704
|
0.7734
|
0.7764
|
0.7794
|
0.7823
|
0.7852
|
|
0.8
|
0.7881
|
0.7910
|
0.7939
|
0.7967
|
0.7996
|
0.8023
|
0.8051
|
0.8079
|
0.8106
|
0.8133
|
|
0.9
|
0.8159
|
0.8186
|
0.8212
|
0.8238
|
0.8264
|
0.8289
|
0.8315
|
0.8340
|
0.8365
|
0.8389
|
|
1.0
|
0.8413
|
0.8438
|
0.8461
|
0.8485
|
0.8508
|
0.8531
|
0.8554
|
0.8577
|
0.8599
|
0.8621
|
|
1.1
|
0.8643
|
0.8665
|
0.8686
|
0.8708
|
0.8729
|
0.8749
|
0.8770
|
0.8790
|
0.8810
|
0.8830
|
|
1.2
|
0.8849
|
0.8869
|
0.8888
|
0.8907
|
0.8925
|
0.8944
|
0.8962
|
0.8980
|
0.8997
|
0.9015
|
|
1.3
|
0.9032
|
0.9049
|
0.9066
|
0.9082
|
0.9099
|
0.9115
|
0.9131
|
0.9147
|
0.9162
|
0.9177
|
|
1.4
|
0.9192
|
0.9207
|
0.9222
|
0.9236
|
0.9251
|
0.9265
|
0.9279
|
0.9292
|
0.9306
|
0.9319
|
|
1.5
|
0.9332
|
0.9345
|
0.9357
|
0.9370
|
0.9382
|
0.9394
|
0.9406
|
0.9418
|
0.9430
|
0.9441
|
|
1.6
|
0.9452
|
0.9463
|
0.9474
|
0.9485
|
0.9495
|
0.9505
|
0.9515
|
0.9525
|
0.9535
|
0.9545
|
|
1.7
|
0.9554
|
0.9564
|
0.9573
|
0.9582
|
0.9591
|
0.9599
|
0.9608
|
0.9616
|
0.9625
|
0.9633
|
|
1.8
|
0.9641
|
0.9649
|
0.9656
|
0.9664
|
0.9671
|
0.9678
|
0.9686
|
0.9693
|
0.9700
|
0.9706
|
|
1.9
|
0.9713
|
0.9719
|
0.9726
|
0.9732
|
0.9738
|
0.9744
|
0.9750
|
0.9756
|
0.9762
|
0.9767
|
|
2.0
|
0.9773
|
0.9778
|
0.9783
|
0.9788
|
0.9793
|
0.9798
|
0.9803
|
0.9808
|
0.9812
|
0.9817
|
|
2.1
|
0.9821
|
0.9826
|
0.9830
|
0.9834
|
0.9838
|
0.9842
|
0.9846
|
0.9850
|
0.9854
|
0.9857
|
|
2.2
|
0.9861
|
0.9865
|
0.9868
|
0.9871
|
0.9875
|
0.9878
|
0.9881
|
0.9884
|
0.9887
|
0.9890
|
|
2.3
|
0.9893
|
0.9896
|
0.9898
|
0.9901
|
0.9904
|
0.9906
|
0.9909
|
0.9911
|
0.9913
|
0.9916
|
|
2.4
|
0.9918
|
0.9920
|
0.9922
|
0.9925
|
0.9927
|
0.9929
|
0.9931
|
0.9932
|
0.9934
|
0.9936
|
|
2.5
|
0.9938
|
0.9940
|
0.9941
|
0.9943
|
0.9945
|
0.9946
|
0.9948
|
0.9949
|
0.9951
|
0.9952
|
|
2.6
|
0.9953
|
0.9955
|
0.9956
|
0.9957
|
0.9959
|
0.9960
|
0.9961
|
0.9962
|
0.9963
|
0.9964
|
|
2.7
|
0.9965
|
0.9966
|
0.9967
|
0.9968
|
0.9969
|
0.9970
|
0.9971
|
0.9972
|
0.9973
|
0.9974
|
|
2.8
|
0.9974
|
0.9975
|
0.9976
|
0.9977
|
0.9977
|
0.9978
|
0.9979
|
0.9980
|
0.9980
|
0.9981
|
|
2.9
|
0.9981
|
0.9982
|
0.9983
|
0.9983
|
0.9984
|
0.9984
|
0.9985
|
0.9985
|
0.9986
|
0.9986
|
|
3.0
|
0.9987
|
0.9987
|
0.9987
|
0.9988
|
0.9988
|
0.9989
|
0.9990
|
0.9989
|
0.9990
|
0.9990
|
Expected Time (weeks) Variance
A 4.5 1.25
B 5.5 0.58
C 4.0 0.25
D 11.5 1.78
E 7.0 2.40
F 8.5 2.78
G 5.0 0.96
The probability that this path will take more than 20 weeks to complete is _____. ?(Enter your response rounded to four decimal places.?)
Provide complete and step by step solution for the question and show calculations and use formulas.