Round your answers to four decimal places. P(x > 9) = P(Z > -1.90) = 1 - P(Z < -1.90) x x

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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We have the normal probability P(x > 9.5) = P(z> -1.90). To calculate this probability, use Table 3 in the appendix or SALT to find the associated probability P(Z < -1.90). Then the binomial probability P(x > 9) can be approximated as follows.
Round your answers to four decimal places.
P(x > 9) = P(Z > -1.90)
= 1- P(Z < -1.90)
x
Ix)
Transcribed Image Text:We have the normal probability P(x > 9.5) = P(z> -1.90). To calculate this probability, use Table 3 in the appendix or SALT to find the associated probability P(Z < -1.90). Then the binomial probability P(x > 9) can be approximated as follows. Round your answers to four decimal places. P(x > 9) = P(Z > -1.90) = 1- P(Z < -1.90) x Ix)
Table 3 (continued)
z
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
ܘ ܝ ܢܪ ܚܐ ܀
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
.00
5000
5398
5793
.6179
6554
6915
7257
7580
7881
8159
8413
8643
8849
9032
9192
9332
9452
9554
9641
9713
9772
9821
.9861
9893
.9918
.9938
9953
9965
9974
9981
9987
9990
9993
9995
.9997
.01
5040
.5438
5832
.6217
.6591
.6950
.7291
.7611
.7910
.8186
.8438
.8665
.8869
.9049
.9207
.9345
.9463
.9564
.9649
.9719
.9778
.9826
.9864
.9896
.9920
.9940
.9955
.9966
.9975
.9982
9987
.9991
.9993
.9995
.9997
.02
5080
5478
5871
.6255
6628
.6985
.7324
.7642
7939
.8212
.8461
.8686
8888
.9066
.9222
.9357
.9474
.9573
.9656
.9726
.9783
.9830
.9868
.9898
.9922
.9941
.9956
.9967
.9976
9982
.9987
.9991
9994
9995
.9997
.03
.5120
.5517
.5910
.6293
.6664
.7019
.7357
7673
.7967
.8238
.8485
.8708
.8907
.9082
.9236
.9370
.9484
.9582
.9664
.9732
9788
.9834
.9871
.9901
.9925
.9943
.9957
.9968
.9977
.9983
.9988
.9991
.9994
.9996
.9997
.04
5160
.5557
.5948
.6331
.6700
.7054
7389
.7704
7995
.8264
.8508
.8729
.8925
.9099
.9251
.9382
9495
.9591
.9671
.9738
.9793
.9838
.9875
.9904
.9927
.9945
.9959
.9969
.9977
.9984
9988
.9992
9994
.9996
.9997
.05
$199
.5596
5987
.6368
.6736
.7088
7422
7734
.8023
.8289
.8531
.8749
.8944
9115
.9265
9394
9505
9599
.9678
9744
9798
9842
9878
9906
9929
.9946
9960
.9970
.9978
.9984
9989
.9992
.9994
9996
.9997
.06
5239
5636
6026
6406
.6772
7123
7454
7764
8051
8315
8554
8770
8962
9131
9279
9406
.9515
9608
.9686
.9750
9803
.9846
9881
.9909
9931
9948
9961
9971
9979
9985
9989
9992
9994
9996
9997
.07
5279
5675
6064
6443
6808
7157
7486
7794
8078
8340
8577
8790
8980
9147
.9292
9418
9525
.9616
.9693
.9756
9808
9850
9884
9911
9932
9949
.9962
.9972
9979
9985
9989
9992
9995
9996
.9997
.08
5319
5714
.6103
6480
6844
.7190
7517
.7823
8106
.8365
.8599
8810
.8997
.9162
.9306
9429
.9535
.9625
.9699
.9761
9812
.9854
.9887
.9913
.9934
.9951
.9963
.9973
.9980
9986
.9990
.9993
.9995
9996
.9997
.09
5359
.5753
.6141
.6517
.6879
7224
.7549
.7852
8133
8389
8621
8830
.9015
.9177
.9319
9441
.9545
.9633
.9706
.9767
.9817
.9857
.9890
.9916
.9936
.9952
.9964
.9974
.9981
.9986
.9990
.9993
.9995
.9997
.9998
Transcribed Image Text:Table 3 (continued) z 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 ܘ ܝ ܢܪ ܚܐ ܀ 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 .00 5000 5398 5793 .6179 6554 6915 7257 7580 7881 8159 8413 8643 8849 9032 9192 9332 9452 9554 9641 9713 9772 9821 .9861 9893 .9918 .9938 9953 9965 9974 9981 9987 9990 9993 9995 .9997 .01 5040 .5438 5832 .6217 .6591 .6950 .7291 .7611 .7910 .8186 .8438 .8665 .8869 .9049 .9207 .9345 .9463 .9564 .9649 .9719 .9778 .9826 .9864 .9896 .9920 .9940 .9955 .9966 .9975 .9982 9987 .9991 .9993 .9995 .9997 .02 5080 5478 5871 .6255 6628 .6985 .7324 .7642 7939 .8212 .8461 .8686 8888 .9066 .9222 .9357 .9474 .9573 .9656 .9726 .9783 .9830 .9868 .9898 .9922 .9941 .9956 .9967 .9976 9982 .9987 .9991 9994 9995 .9997 .03 .5120 .5517 .5910 .6293 .6664 .7019 .7357 7673 .7967 .8238 .8485 .8708 .8907 .9082 .9236 .9370 .9484 .9582 .9664 .9732 9788 .9834 .9871 .9901 .9925 .9943 .9957 .9968 .9977 .9983 .9988 .9991 .9994 .9996 .9997 .04 5160 .5557 .5948 .6331 .6700 .7054 7389 .7704 7995 .8264 .8508 .8729 .8925 .9099 .9251 .9382 9495 .9591 .9671 .9738 .9793 .9838 .9875 .9904 .9927 .9945 .9959 .9969 .9977 .9984 9988 .9992 9994 .9996 .9997 .05 $199 .5596 5987 .6368 .6736 .7088 7422 7734 .8023 .8289 .8531 .8749 .8944 9115 .9265 9394 9505 9599 .9678 9744 9798 9842 9878 9906 9929 .9946 9960 .9970 .9978 .9984 9989 .9992 .9994 9996 .9997 .06 5239 5636 6026 6406 .6772 7123 7454 7764 8051 8315 8554 8770 8962 9131 9279 9406 .9515 9608 .9686 .9750 9803 .9846 9881 .9909 9931 9948 9961 9971 9979 9985 9989 9992 9994 9996 9997 .07 5279 5675 6064 6443 6808 7157 7486 7794 8078 8340 8577 8790 8980 9147 .9292 9418 9525 .9616 .9693 .9756 9808 9850 9884 9911 9932 9949 .9962 .9972 9979 9985 9989 9992 9995 9996 .9997 .08 5319 5714 .6103 6480 6844 .7190 7517 .7823 8106 .8365 .8599 8810 .8997 .9162 .9306 9429 .9535 .9625 .9699 .9761 9812 .9854 .9887 .9913 .9934 .9951 .9963 .9973 .9980 9986 .9990 .9993 .9995 9996 .9997 .09 5359 .5753 .6141 .6517 .6879 7224 .7549 .7852 8133 8389 8621 8830 .9015 .9177 .9319 9441 .9545 .9633 .9706 .9767 .9817 .9857 .9890 .9916 .9936 .9952 .9964 .9974 .9981 .9986 .9990 .9993 .9995 .9997 .9998
Expert Solution
Step 1

To find probability

P(x>9.5)=p(z>-1.90)

Using given z table

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