What is the probability that 24​% or fewer male employees will indicate that they have to pick up the slack for moms working​ flextime?   The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 2 b. What is the probability that between 20​% and 30​% of male employees will indicate that they have to pick up the slack for moms working​ flextime?   The probability is enter your response here. ​(Round to four decimal places as​ needed.) Part 3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 36E
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Related questions
Question
Flextime scheduling is often offered to help recruit and keep women employees who have children at home. Other workers sometimes view these flextime schedules as unfair. An article indicates that
25%
of male employees state that they have to pick up the slack for moms working flextime schedules. A random sample is selected of
100
male employees working for companies offering flextime. Use the normal distribution approximation to complete parts​ (a) through​ (d).
 
 
 
 

Question content area bottom

Part 1
a. What is the probability that
24​%
or fewer male employees will indicate that they have to pick up the slack for moms working​ flextime?
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 2
b. What is the probability that between
20​%
and
30​%
of male employees will indicate that they have to pick up the slack for moms working​ flextime?
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 3
c. What is the probability that between
30​%
and
33​%
of male employees will indicate that they have to pick up the slack for moms working​ flextime?
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 4
d. If a random sample of
500
is​ taken, how does this change the answers to​ (a) through​ (c)? What is the probability that
24​%
or fewer male employees will indicate that they have to pick up the slack for moms working​ flextime?
 
The probability is
enter your response here.
​(Round to four decimal places as​ needed.)
Part 5
What is the probability that between
20​%
and
30​%
of male employees will indicate that they have to pick up the slack for moms working​ flextime?
Cumulative Probabili ties
000
0.01
0.02
0.03
0.04
0.05
0.06
0.08
0.09
-6.0
0.000000001
-55
0.000000019
-5.0
0.000000287
-4.5
0.000003398
0.00003 1671
0.00005
-4.0
-3.9
0.00005
0.00004
0.00004
0.00004
0.00004
0.00004
0.00004
0.00003 0.00003
-3.8
0.00007
0.00007
0.00007
0.00006
0.00006
0.00006
0.00006
0.00005
0.00005 0.00005
-3.7
0.00011
0.00010
0.00010
0.00010
0.00009
0.00009
0.00008
0.00008
0.00008 0.00008
-3.6
0.00016
0.00015
0.00015
0.00014
0.00014
0.00013
0.00013
0.00012
0.00012 0.00011
-35
0.00023
0.00022
0.00022
0.00021
0.00020
0.00019
0.00019
0.00018
0.00017 0.00017
-3.4
0.00034
0.00032
0.00031
0.00030
0.00029
0.00028
0.00027
0.00026
0.00025
0.00024
-33
0.00048
0.00047
0.00045
0.00043
0.00042
0.00040
0.00039
0.00038
0.00036
0.00035
-32
0.00069
0.00066
0.00064
0.00062
0.00060
0.00058
0.00056
0.00054
0.00052
0.00050
-3.1
0.00097
0.00094
0.00090
0.00087
0.00084
0.00082
0.00079
0.00076
0.00074
0.00071
-3.0
0.00135
0.00131
0.00126
0.0018
0.00122
0.0017
0.00118
0.00114
0.00111
0.00107
0.00103
0.00100
-2.9
0.0019
0.0018
0.0016
0.0016
0.0015
0.0015
0.0014
0.0014
0.0026
0.0025
0.0024
0.0023
0.0023
0.0022
0.0021
0.0021
0.0020
0.0019
-2.7
0.0035
0.0034
0.0033
0.0032
0.0031
0.0030
0.0029
0.0028
0.0027
0.0026
-2.6
0.0047
0.0045
0.0044
0.0043
0.0041
0.0040
0.0039
0.0038
0.0037
0.0036
0.0060
0.0080
0.0054
0.0071
-2.5
0.0062
0.0055
0.0049
0.0059
0.0078
0.0057
0.0052
0.0051
0.0048
-2.4
0.0082
0.0075
0.0073
0.0069
0.0068
0.0066
0.0064
-23
0.0107
0.0104
0.0102
0.0099
0.0096
0.0094
0.0091
0.0089
0.0087
0.0084
-22
0.0139
0.0136
0.0132
0.0129
0.0125
0.0122
0.0119
0.0116
0.0113
0.0110
-2.1
0.0179
0.0174
0.0170
0.0166
0.0162
0.0158
0.0154
0.0150
0.0146
0.0143
0.0202
0.0256
0.0322
0.0197
0.0250
0.0228
0.0217
0.0212
0.0207
0.0183
0.0233
0.0294
-2.0
0.0222
0.0192
0.0188
-1.9
0.0287
0.0359
0.0281
0.0274
0.0268
0.0262
0.0244
0.0239
-1.8
0.0351
0.0344
0.0336
0.0329
0.0409
0.0314
0.0307
0.0301
-1.7
0.0446
0.0436
0.0427
0.0418
0.0401
0.0392
0.0384
0.0375
0.0367
-1.6
0.0548
0.0537
0.0526
0.05 16
0.0505
0.0495
0.0485
0.0475
0.0465
0.0455
-15
0.0668
0.0655
0.0643
0.0630
0.0618
0.0606
0.0594
0.0582
0.0571
0.0559
-14
0.0808
0.0793
0.0778
0.0764
0.0749
0.0735
0.0721
0.0708
0.0694
0.0681
0.0901
0.1075
0.0885
0.1056
0.0853
0.0823
0.0985
-13
0.0968
0.0951
0.0934
0.0918
0.0869
0.0838
0.1093
0.1292
-12
0.1151
0.1357
0.1131
0.1112
0.1038
0.1020
0.1003
0.1314
0.1539
0.1788
0.1271
0.1492
-1.1
0.1335
0.1251
0.1230
0.1210
0.1190
0.1170
-1.0
0.1587
0.1562
0.1515
0.1469
0.1446
0.1423
0.1401
0.1379
-0.9
0.1841
0.1814
0.1762
0.1736
0.1711
0.1685
0.1660
0.1635
0.1611
-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
0.2388
0.2358
0.2327
0.2296
0.2266
0.2236
0.2206
0.2514
0.2177
0.2148
-0.6
0.2743
0.2709
0.2676
0.2643
0.2611
0.2578
0.2546
0.2482
0.2451
--0.5
0.3085
0.3050
0.3015
0.2981
0.2946
0.2912
0.2877
0.2843
0.2810
0.2776
-04
0.3446
0.3409
0.3372
0.3336
0.3300
0.3264
0.3228
0.3192
0.3156
0.3121
-0.3
0.3821
0.3783
0.3745
0.3707
0.3669
0.632
0.3594
0.3557
0.3520
0.3483
-02
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
0.4761
0.4721
0.4681
0.4641
000
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
Transcribed Image Text:Cumulative Probabili ties 000 0.01 0.02 0.03 0.04 0.05 0.06 0.08 0.09 -6.0 0.000000001 -55 0.000000019 -5.0 0.000000287 -4.5 0.000003398 0.00003 1671 0.00005 -4.0 -3.9 0.00005 0.00004 0.00004 0.00004 0.00004 0.00004 0.00004 0.00003 0.00003 -3.8 0.00007 0.00007 0.00007 0.00006 0.00006 0.00006 0.00006 0.00005 0.00005 0.00005 -3.7 0.00011 0.00010 0.00010 0.00010 0.00009 0.00009 0.00008 0.00008 0.00008 0.00008 -3.6 0.00016 0.00015 0.00015 0.00014 0.00014 0.00013 0.00013 0.00012 0.00012 0.00011 -35 0.00023 0.00022 0.00022 0.00021 0.00020 0.00019 0.00019 0.00018 0.00017 0.00017 -3.4 0.00034 0.00032 0.00031 0.00030 0.00029 0.00028 0.00027 0.00026 0.00025 0.00024 -33 0.00048 0.00047 0.00045 0.00043 0.00042 0.00040 0.00039 0.00038 0.00036 0.00035 -32 0.00069 0.00066 0.00064 0.00062 0.00060 0.00058 0.00056 0.00054 0.00052 0.00050 -3.1 0.00097 0.00094 0.00090 0.00087 0.00084 0.00082 0.00079 0.00076 0.00074 0.00071 -3.0 0.00135 0.00131 0.00126 0.0018 0.00122 0.0017 0.00118 0.00114 0.00111 0.00107 0.00103 0.00100 -2.9 0.0019 0.0018 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 0.0060 0.0080 0.0054 0.0071 -2.5 0.0062 0.0055 0.0049 0.0059 0.0078 0.0057 0.0052 0.0051 0.0048 -2.4 0.0082 0.0075 0.0073 0.0069 0.0068 0.0066 0.0064 -23 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -22 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 -2.1 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0146 0.0143 0.0202 0.0256 0.0322 0.0197 0.0250 0.0228 0.0217 0.0212 0.0207 0.0183 0.0233 0.0294 -2.0 0.0222 0.0192 0.0188 -1.9 0.0287 0.0359 0.0281 0.0274 0.0268 0.0262 0.0244 0.0239 -1.8 0.0351 0.0344 0.0336 0.0329 0.0409 0.0314 0.0307 0.0301 -1.7 0.0446 0.0436 0.0427 0.0418 0.0401 0.0392 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.05 16 0.0505 0.0495 0.0485 0.0475 0.0465 0.0455 -15 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -14 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0901 0.1075 0.0885 0.1056 0.0853 0.0823 0.0985 -13 0.0968 0.0951 0.0934 0.0918 0.0869 0.0838 0.1093 0.1292 -12 0.1151 0.1357 0.1131 0.1112 0.1038 0.1020 0.1003 0.1314 0.1539 0.1788 0.1271 0.1492 -1.1 0.1335 0.1251 0.1230 0.1210 0.1190 0.1170 -1.0 0.1587 0.1562 0.1515 0.1469 0.1446 0.1423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -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 0.2388 0.2358 0.2327 0.2296 0.2266 0.2236 0.2206 0.2514 0.2177 0.2148 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2482 0.2451 --0.5 0.3085 0.3050 0.3015 0.2981 0.2946 0.2912 0.2877 0.2843 0.2810 0.2776 -04 0.3446 0.3409 0.3372 0.3336 0.3300 0.3264 0.3228 0.3192 0.3156 0.3121 -0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.632 0.3594 0.3557 0.3520 0.3483 -02 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 0.4761 0.4721 0.4681 0.4641 000 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
Cumulative Probabilities
0.00
0.01
0.02
0.03
0.04
0.05
0.06
007
0.09
0.0
0.5000
0.5040
0.5080
0.5120
0.5160
0.5199
0.5239
0.5279
0.5675
0.5319
0.5359
0.1
0.5398
0.5438
0.5478
0.5517
0.5557
0.5596
0.5636
0.5714
0.5753
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
0.6591
0.6950
0.6255
0.6293
0.6331
0.6368
0.6406
0.6443
0.6480
0.6517
0.4
0.6554
0.6628
0.6664
0.6700
0.6736
0.6772
0.6808
0.6844
0.6879
0.5
0.6915
0.6985
0.7019
0.7054
0.7088
0.7123
0.7157
0.7190
0.7224
0.7257
0.7422
0.7734
0.6
0.7291
0.7324
0.7357
0.7389
0.7454
0.7486
0.7518
0.7549
0.7
0.7580
0.7612
0.7642
0.7673
0.7704
0.7764
0.7794
0.7823
0.7852
0.8078
0.8340
0.8577
0.8
0.7881
0.7910
0.7939
0.7967
0.7995
0.8023
0.8051
0.8106
0.8133
0.8186
0.8438
0.8665
0.8869
0.9
0.8159
0.8212
0.8238
0.8389
0.8264
0.8508
0.8289
0.8315
0.8554
0.8365
1.0
0.8413
0.8461
0.8485
0.8531
0.8599
0.8621
1.1
0.8643
0.8686
0.8708
0.8729
0.8749
0.8770
0.8790
0.8810
0.8830
1.2
0.8849
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
0.9505
0.9406
0.9418
0.9429
0.9441
0.9452
0.9554
0.9474
0.9573
1.6
0.9463
0.9484
0.9495
0.9515
0.9525
0.9535
0.9545
0.9591
0.9671
1.7
0.9564
0.9582
0.9599
0.9608
0.9616
0.9625
0.9633
0.9678
0.9744
1.8
0.9641
0.9649
0.9656
0.9664
0.9686
0.9693
0.9699
0.9706
1.9
0.9713
0.9719
0.9726
0.9732
0.9738
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
22
0.9861
0.9864
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
0.9927
0.9945
2.4
0.9918
0.9920
0.9922
0.9925
0.9929
0.9931
0.9932
0.9934
0.9936
2.5
0.9938
0.9940
0.9941
0.9943
0.9946
0.9948
0.9949
0.9951
0.9952
2.6
0.9953
0.9965
0.9955
0.9956
0.9957
0.9959
0.9960
0.9961
0.9962
0.9963
0.9964
2.7
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
0.9979
0.9980
0.9981
2.9
0.9981
0.99865
0.9982
0.9982
0.9983
0.99878
0.9984
0.9985
0.99889
0.9984
0.9985
0.9986
0.9986
0.99882
0.99916
3.0
0.99869
0.99874
0.99886
0.99893
0.99897
0.99900
3.1
0.99903
0.99906
0.99910
0.99913
0.99918
0.99921
0.99924
0.99926
0.99929
3.2
0.99931
0.99934
0.99936
0.99938
0.99940
0.99942
0.99944
0.99946
0.99948
0.99950
3.3
0.99952
0.99953
0.99955
0.99957
0.99958
0.99960
0.99961
0.99962
0.99964
0.99965
0.99970
0.99972
0.99974
0.99982
0.99988
3.4
0.99966
0.99968
0.99969
0.99971
0.99973
0.9
0.99976
0.99977
0.99984
0.99978
0.99985
0.99983
0.99989
0.99992
0.99995
3.5
0.99978
0.99985
0.99990
0.99979
0.99980
0.99981
0.99983
0.99981
0.99987
3.6
0.99986
0.99986
0.99987
0.99988
3.7
0.99989
0.99990
0.99990
0.99991
0.99991
0.99992
0.99992
0.99992
3.8
0.99993
0.99993
0.99993
0.99994
0.99994
0.99994
0.99994
0.99995
0.99995
3.9
0.99995
0.99995
0.99996
0.99996
0.99996
0.99996
0.99996
0.99996
0.99997
0.99997
4.0
0.999968329
4.5
0.999996602
5.0
0.999999713
5.5
0.999999981
60
0.999999999
0.00
0.01
0.02
0.03
0.04
0.05
0.06
007
0.09
Transcribed Image Text:Cumulative Probabilities 0.00 0.01 0.02 0.03 0.04 0.05 0.06 007 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5675 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5714 0.5753 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 0.6591 0.6950 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.4 0.6554 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.5 0.6915 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.7257 0.7422 0.7734 0.6 0.7291 0.7324 0.7357 0.7389 0.7454 0.7486 0.7518 0.7549 0.7 0.7580 0.7612 0.7642 0.7673 0.7704 0.7764 0.7794 0.7823 0.7852 0.8078 0.8340 0.8577 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8106 0.8133 0.8186 0.8438 0.8665 0.8869 0.9 0.8159 0.8212 0.8238 0.8389 0.8264 0.8508 0.8289 0.8315 0.8554 0.8365 1.0 0.8413 0.8461 0.8485 0.8531 0.8599 0.8621 1.1 0.8643 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 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 0.9505 0.9406 0.9418 0.9429 0.9441 0.9452 0.9554 0.9474 0.9573 1.6 0.9463 0.9484 0.9495 0.9515 0.9525 0.9535 0.9545 0.9591 0.9671 1.7 0.9564 0.9582 0.9599 0.9608 0.9616 0.9625 0.9633 0.9678 0.9744 1.8 0.9641 0.9649 0.9656 0.9664 0.9686 0.9693 0.9699 0.9706 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 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 22 0.9861 0.9864 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 0.9927 0.9945 2.4 0.9918 0.9920 0.9922 0.9925 0.9929 0.9931 0.9932 0.9934 0.9936 2.5 0.9938 0.9940 0.9941 0.9943 0.9946 0.9948 0.9949 0.9951 0.9952 2.6 0.9953 0.9965 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 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 0.9979 0.9980 0.9981 2.9 0.9981 0.99865 0.9982 0.9982 0.9983 0.99878 0.9984 0.9985 0.99889 0.9984 0.9985 0.9986 0.9986 0.99882 0.99916 3.0 0.99869 0.99874 0.99886 0.99893 0.99897 0.99900 3.1 0.99903 0.99906 0.99910 0.99913 0.99918 0.99921 0.99924 0.99926 0.99929 3.2 0.99931 0.99934 0.99936 0.99938 0.99940 0.99942 0.99944 0.99946 0.99948 0.99950 3.3 0.99952 0.99953 0.99955 0.99957 0.99958 0.99960 0.99961 0.99962 0.99964 0.99965 0.99970 0.99972 0.99974 0.99982 0.99988 3.4 0.99966 0.99968 0.99969 0.99971 0.99973 0.9 0.99976 0.99977 0.99984 0.99978 0.99985 0.99983 0.99989 0.99992 0.99995 3.5 0.99978 0.99985 0.99990 0.99979 0.99980 0.99981 0.99983 0.99981 0.99987 3.6 0.99986 0.99986 0.99987 0.99988 3.7 0.99989 0.99990 0.99990 0.99991 0.99991 0.99992 0.99992 0.99992 3.8 0.99993 0.99993 0.99993 0.99994 0.99994 0.99994 0.99994 0.99995 0.99995 3.9 0.99995 0.99995 0.99996 0.99996 0.99996 0.99996 0.99996 0.99996 0.99997 0.99997 4.0 0.999968329 4.5 0.999996602 5.0 0.999999713 5.5 0.999999981 60 0.999999999 0.00 0.01 0.02 0.03 0.04 0.05 0.06 007 0.09
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