According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state of Massachusetts are white-collar workers. What is the probability that between 479 and 509, inclusive, of the next 1000 randomly selected Valium users from this state are white-collar workers? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is Round to four decimal places as needed.)
According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state of Massachusetts are white-collar workers. What is the probability that between 479 and 509, inclusive, of the next 1000 randomly selected Valium users from this state are white-collar workers? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. The probability is Round to four decimal places as needed.)
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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Transcribed Image Text:Areas under the Normal Curve
Q
Areas under the Normal Curve
Z
.02
.00
.01
.03
.04
.05
.06
-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
-3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004
-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006
-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008
-3.0 0.0013
0.0013
0.0012
0.0013
0.0012
0.0011 0.0011
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014
0.0026 0.0025
0.0023 0.0022
-2.8
0.0020
0.0024
0.0019
0.0023
0.0021 0.0021
0.0034 0.0033
0.0031 0.0030
0.0027
-2.7 0.0035
0.0032
0.0029 0.0028
0.0043 0.0041
-2.6 0.0047
0.0039
0.0045 0.0044
0.0040
0.0038 0.0037
-2.5 0.0062
0.0054
0.0059 0.0057
0.0055
0.0060
0.0049 0.0048
0.0052 0.0051
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
-2.3
0.0102
0.0096
0.0107
0.0094
0.0104
0.0099
0.0091 0.0089 0.0087 0.0084
-2.2 0.0139 0.0136
0.0113
0.0132 0.0129 0.0125 0.0122 0.0119 0.0116
0.0110
-2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143
-2.0 0.0228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0183
-1.9 0.0287 0.0281 0.0274 0.0268 0.0262
0.0256 0.0250 0.0244 0.0239 0.0233
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0294
-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367
-1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455
-1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559
-1.4 0.0808 0.0793 0.0778 0.0764
0.0694
0.0749 0.0735 0.0721 0.0708
0.0681
-1.3 0.0968 0.0951 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
-1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170
-1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1379
-0.9
0.1814
0.1841
0.1788
0.1736
0.1762
0.1685
0.1711
0.1660
0.1611
0.1635
-0.8 0.2119 0.2090 0.2061 0.2033 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867
-0.7 0.2420 0.2389 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148
-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2514 0.2483
-0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776
-0.4 0.3446 0.3409
0.3336 0.3300 0.3264 0.3228 0.3192 0.3156
0.3372
0.3121
-0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3632 0.3594 0.3557 0.3520 0.3483
-0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3974 0.3936 0.3897 0.3859
-0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247
-0.0 0.5000 0.4960 0.4920 0.4880 0.4840 0.4801
.07
.08
0.0003 0.0003 0.0002
0.0004 0.0004 0.0003
0.0005 0.0005 0.0005
0.0008 0.0007 0.0007
0.0011 0.0010 0.0010
.09
z
.00
0.0026
0.7
0.0036
0.8
1
k
1
円
0.2451
0.9929 0.9931 0.9932 0.9934
0.9925
0.9927
2.5 0.9938 0.9940 0.9941 0.9943 0.9945 0.9946 0.9948 0.9949 0.9951
2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963
2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088
0.6 0.7257 0.7291 0.7324 0.7357 0.7389
0.7642 0.7673
0.7580 0.7611
0.7704
0.7967
0.8051
0.7910 0.7939
0.7881
0.8023
0.7995
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315
1.0
0.8485 0.8508
0.8413 0.8438 0.8461
0.8531 0.8554
0.8621
1.1 0.8643 0.8665 0.8686
0.8749
0.8830
0.8708 0.8729
0.8770
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 0.9429 0.9441
1.6 0.9452 0.9463
0.9474 0.9484 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 0.9699 0.9706
1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 0.9750 0.9756 0.9761 0.9767
2.0 0.9772 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 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887
2.3 0.9893 0.9896 0.9898 0.9901 0.9904 0.9906 0.9909 0.9911 0.9913
2.4 0.9918 0.9920 0.9922
.01
.02
.03
.04
.05
.06
.07
.08
.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
0.5675 0.5714 0.5753
0.5636
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
0.6368
0.6255 0.6293 0.6331
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
0.7123 0.7157
0.7422 0.7454 0.7486
0.7224
0.7190
0.7517 0.7549
0.7734
0.7764
0.7794
0.8078
0.7823
0.8106
0.7852
0.8133
0.8340 0.8365 0.8389
0.8577
0.8790
0.8599
0.8810
0.9890
0.9916
0.9936
0.9952
0.4761 0.4721 0.4681 0.4641
< >
U o
2.8
2.9
3.0
Dr
0.9974 0.9975 0.9976 0.9977 0.9977 0.9978
0.9982
0.9981
0.9982 0.9983 0.9984 0.9984
0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.9990 0.9990
3.1 0.9990 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993
3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995
3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997
3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998
0.9979
0.9985
0.9985
0.9964
0.9974
0.9979 0.9980 0.9981
0.9986 0.9986
Transcribed Image Text:According to a study published by a group of sociologists at the University of Massachusetts, approximately 49% of the Valium users in the state of Massachusetts are white-collar workers. What is the probability that between 479 and 509, inclusive, of the next 1000 randomly
selected Valium users from this state are white-collar workers?
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
The probability is
(Round to four decimal places as needed.)
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