If income is normally distributed with mean at 50,000 and standard deviation at 10,000, what proportion of people would make between 75,000 and 85,000?(hint: find the z score 85,000. Find the area to the left of that. Then subtract the area to the left of 75,000 (which is the answer from the question above)] .00.01.02.03.04.05.06.07.08.090.0.5000.5040.5080.5120.5160.5199.5239.5279.5319.53590.1.5398.5438.5478.5517.5557.5596.5636.5675.5714.57530.2.5793 .5832.5871.5910.5948.5987 .6026.6064.6103.61410.3.6179.6217.6255.6293.6368.6406.6443.6480.6517.6331.67000.4.6554.6591.6628.6664.6736.6772.6808.6844.68790.5.6950.7123.7157.7190.7224.7019.7357.6915.6985.7054.70880.6.7257.7291.7324.7389.7422.7454.7486.7517.7549.7852.770479950.7.7611.7642.7734.7764.7794.7823.75807881.76730.8.7910.7939.7967.8023.8051.8078.8106.81330.9.8159.8186.8238.8264.8289.8315.8340.8365.8389.8212.8461.8508.87291.0.8413.8438.8485.8531.8554.8577.8599.8621.8810.89971.1.8643.8686.8708.8749.8770.8790.8830.8665.88691.2.8849.8888.8907.8925.8944.8962.8980.90151.3.9032.9049.9066.9082.9099.9115.9131.9147.9162.91771.4.9192.9207.9222.9236.9251.9265.9279.9292.9306.93191.5.9332.9345.9357.9370.9382.9394.9406.9418.9429.94411.6 .9452.9463.9474.9484 .9495.9505.9515 .9525.9535.95451.7.9554.9564.9573.9582.9591.9599.9608.9616.9625.96331.8.9641.9649.9656.9664.9671.9678 .9686 .9693 .9699.97061.9.9713.9719.9726.9732.9738.9744.9750.9756.9761.97672.0.9772.9778.9783.9788.9793.9798 .9803.9808.9812.98172.12.2.9826.9834.9838.9842.9846.9857.9854.9887.9821.9830.9850.9884.9861.9864.9868.9871.9875.9878 .9881.98902.3.9893.9896.9898.9901.9904.9906.9909.9911.9913.99162.4.9918.9920.9922.9925.9927.9929.9931.9932.9934.9936.9941.9956.9938.9949.9951.9952.9940.9955.9948.9960 .99612.5.9943.9945.99462.6.9953.9957.9959.9962.9963.99642.7.9965.9966 .9967.9968.9969.9970.9971.9972.9973.99742.8.9974.9975.9976.9977.9977.9978 .9979 .9979.9980.99812.9.9981.9982.9982.9983.9984.9984.9985.9985.9986.9986.9988.9992.9990.99933.0.9987.9987 .9987.9988.9989 .9989.9989.99903.1.9990 .9991.9991.9991.9992 .9992.9992.99933.2.9993.9993.9994.9994.9994.9994 .9994.9995.9995.9996.9995.9996.9997.99983.3.9995.9995.9995.9996.9996.9996.99963.4.9997.9997.9997.9997.9997.9997.9997.9997.9997

Answered: If income is normally distributed with…

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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Related questions

Question

If income is normally distributed with mean at 50,000 and standard deviation at 10,000, what proportion of people would make between 75,000 and 85,000?

(hint: find the z score 85,000. Find the area to the left of that. Then subtract the area to the left of 75,000 (which is the answer from the question above)]

.00
.01
.02
.03
.04
.05
.06
.07
.08
.09
0.0
.5000
.5040
.5080
.5120
.5160
.5199
.5239
.5279
.5319
.5359
0.1
.5398
.5438
.5478
.5517
.5557
.5596
.5636
.5675
.5714
.5753
0.2
.5793 .5832
.5871
.5910
.5948
.5987 .6026
.6064
.6103
.6141
0.3
.6179
.6217
.6255
.6293
.6368
.6406
.6443
.6480
.6517
.6331
.6700
0.4
.6554
.6591
.6628
.6664
.6736
.6772
.6808
.6844
.6879
0.5
.6950
.7123
.7157
.7190
.7224
.7019
.7357
.6915
.6985
.7054
.7088
0.6
.7257
.7291
.7324
.7389
.7422
.7454
.7486
.7517
.7549
.7852
.7704
7995
0.7
.7611
.7642
.7734
.7764
.7794
.7823
.7580
7881
.7673
0.8
.7910
.7939
.7967
.8023
.8051
.8078
.8106
.8133
0.9
.8159
.8186
.8238
.8264
.8289
.8315
.8340
.8365
.8389
.8212
.8461
.8508
.8729
1.0
.8413
.8438
.8485
.8531
.8554
.8577
.8599
.8621
.8810
.8997
1.1
.8643
.8686
.8708
.8749
.8770
.8790
.8830
.8665
.8869
1.2
.8849
.8888
.8907
.8925
.8944
.8962
.8980
.9015
1.3
.9032
.9049
.9066
.9082
.9099
.9115
.9131
.9147
.9162
.9177
1.4
.9192
.9207
.9222
.9236
.9251
.9265
.9279
.9292
.9306
.9319
1.5
.9332
.9345
.9357
.9370
.9382
.9394
.9406
.9418
.9429
.9441
1.6 .9452
.9463
.9474
.9484 .9495
.9505
.9515 .9525
.9535
.9545
1.7
.9554
.9564
.9573
.9582
.9591
.9599
.9608
.9616
.9625
.9633
1.8
.9641
.9649
.9656
.9664
.9671
.9678 .9686 .9693 .9699
.9706
1.9
.9713
.9719
.9726
.9732
.9738
.9744
.9750
.9756
.9761
.9767
2.0
.9772
.9778
.9783
.9788
.9793
.9798 .9803
.9808
.9812
.9817
2.1
2.2
.9826
.9834
.9838
.9842
.9846
.9857
.9854
.9887
.9821
.9830
.9850
.9884
.9861
.9864
.9868
.9871
.9875
.9878 .9881
.9890
2.3
.9893
.9896
.9898
.9901
.9904
.9906
.9909
.9911
.9913
.9916
2.4
.9918
.9920
.9922
.9925
.9927
.9929
.9931
.9932
.9934
.9936
.9941
.9956
.9938
.9949
.9951
.9952
.9940
.9955
.9948
.9960 .9961
2.5
.9943
.9945
.9946
2.6
.9953
.9957
.9959
.9962
.9963
.9964
2.7
.9965
.9966 .9967
.9968
.9969
.9970
.9971
.9972
.9973
.9974
2.8
.9974
.9975
.9976
.9977
.9977
.9978 .9979 .9979
.9980
.9981
2.9
.9981
.9982
.9982
.9983
.9984
.9984
.9985
.9985
.9986
.9986
.9988
.9992
.9990
.9993
3.0
.9987
.9987 .9987
.9988
.9989 .9989
.9989
.9990
3.1
.9990 .9991
.9991
.9991
.9992 .9992
.9992
.9993
3.2
.9993
.9993
.9994
.9994
.9994
.9994 .9994
.9995
.9995
.9996
.9995
.9996
.9997
.9998
3.3
.9995
.9995
.9995
.9996
.9996
.9996
.9996
3.4
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997
.9997

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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