Given a standard normal distribution, find the areas in part (a) through (f) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the area under the curve that lies to the left of z = -1.26. The area is (Round to four decimal places as needed.) (b) Find the area under the curve that lies to the right of z = 1.93. The area is (Round to four decimal places as needed.) (c) Find the area under the curve that lies between z = -2.22 and z = -0.77. The area is (Round to four decimal places as needed.) (d) Find the area under the curve that lies to the left of z = 1.55. The area is (Round to four decimal places as needed.) (e) Find the area under the curve that lies to the right of z = -0.95. The area is (Round to four decimal places as needed.) (f) Find the area under the curve that lies between z = -0.59 and z = 1.78. The area is (Round to four decimal places as needed.) Areas under the Normal Curve ☑= Areas under the Normal Curve .00 .01 0.0041 0.1515 0.1841 0.1814 0.1788 0.1762 0.1736 .02 .03 .04 -3.4 0.0003 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 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0026 0.0025 0.0024 0.0023 -2.8 0.0023 0.0022 0.0021 0.0021 0.0034 0.0033 0.0032 -2.7 0.0031 0.0035 0.0030 0.0029 0.0028 0.0047 0.0045 0.0044 0.0043 0.0040 -2.6 0.0039 0.0038 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 -2.3 0.0099 0.0107 0.0096 0.0104 0.0094 0.0102 0.0091 -2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0174 -2.1 0.0170 0.0166 0.0179 -2.0 0.0228 0.0217 0.0222 0.0212 -2.0 -1.9 0.0287 0.0233 0.0281 0.0274 0.0262 0.0256 0.0239 0.0268 -1.9 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314 0.0301 0.0294 -1.8 -1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7 0.0548 0.0537 -1.6 0.0516 0.0526 0.0485 0.0505 0.0495 0.0475 0.0465 -1.6 0.0455 -1.5 0.0668 0.0655 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5 0.0764 0.0721 0,0694 -1.4 0.0808 -1.4 0.0793 0.0778 0.0749 0.0735 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 -1.3 -1.2 0.1151 0.1038 0.1131 0.1112 0.1093 0.1075 0.1056 0.1020 0.1003 0.0985 -1.2 -1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1401 0.1492 0.1469 0.1446 0.1539 0.1379 -0.9 0.1635 .05 .06 .07 .08 .09 0.0003 0.0002 -3.4 0.0004 0.0003 -3.3 0.0005 0.0005 -3.2 0.0007 0.0007 -3.1 0.0010 -3.0 0.0010 0.0014 0.0014 -2.9 0.0020 0.0019 -2.8 0.0027 0.0037 0.0049 > 2 .02 .03 .04 0.0026 -2.7 0.0036 -2.6 0.0048 -2.5 0.0066 0.0064 -2.4 0.0089 0.0087 0.0084 -2.3 0.0119 0.0116 0.0113 0.0110 -2.2 1.2 0.0162 0.0158 0.0207 0.0154 1.3 0.9066 0.0150 0.0146 0.0143 -2.1 0.0202 0.0197 0.9222 0.9236 0.0192 0.0188 0.0183 0.9251 0.9370 0.0250 0.0244 0.0307 0.1423 -1.0 0.1711 0.1685 0.1660 0.1611 -0.9 0.2033 0.2327 0.3085 0.3050 -0.5 0.3015 -0.4 0.3446 0.3409 0.3372 0.3821 -0.3 0.3745 0.3783 -0.2 0.4207 0.4168 0.4129 -0.1 0.4602 0.4562 0.4522 -0.0 0.5000 0.4960 0.4920 .00 .01 .02 0.4483 0.4880 .03 -0.8 0.2119 0.2090 0.2061 -0.7 0.2420 0.2389 0.2358 -0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546 0.2946 0.2912 0.2981 0.2877 0.3336 0.3300 0.3264 0.3228 0.3192 0.3707 0.3594 0.3669 0.3632 0.3557 0.4090 0.4013 0.3936 0.3974 0.4052 0.4325 0.4443 0.4404 0.4364 0.4840 0.4801 0.4761 0.4721 .04 .05 .06 .07 0.2005 0.1977 0.1949 0.1922 0.1894 0.1867 -0.8 0.2296 0.2266 0.2236 0.2206 0.2177 0.2148 -0.7 1 0.2514 0.2483 0.2451 -0.6 0.2843 0.2810 0.2776 -0.5 + 2 3.0 .08 0.3156 0.3121 -0.4 -0.3 0.3520 0.3483 0.3897 0.3859 -0.2 0.4247 -0.1 0.4286 0.4681 0.4641 -0.0 .09 3.1 3.2 3.3 3.4 .00 .00 .01 .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 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1 0.2 0.5793 0.5832 0.5871 0.2 0.5910 0.5987 0.5948 0.6064 0.6026 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 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8078 0.8023 0.8051 0.8106 0.8133 0.8 0.9 0.8159 0.8264 0.8186 0.8212 0.8238 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2 0.9032 0.9049 0.9082 0.9115 0.9147 0.9099 0.9177 0.9131 1.3 0.9162 1.4 0.9192 0.9207 0.9319 0.9265 0.9279 0.9292 0.9306 1.4 1.5 0.9345 0.9418 0.9332 0.9441 0.9357 1.5 0.9382 0.9394 0.9406 0.9429 0.9495 1.6 0.9452 0.9463 0.9474 0.9484 0.9505 0.9515 0.9525 0.9535 0.9545 1.6 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7 0.9656 1.8 0.9664 0.9693 0.9686 0.9641 0.9649 1.8 0.9671 0.9678 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 1.9 2.0 0.9772 0.9778 0.9783 0.9788 0.9798 0.9803 0,9812 2.0 0.9793 0.9808 0.9817 2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1 2.2 0.9864 0.9875 0.9861 0.9881 0.9868 0.9871 0.9890 2.2 0.9878 0.9884 0.9887 2.3 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 0.9927 0.9920 2.4 0.9922 0.9925 0.9929 0.9931 0.9936 2.5 0.9938 0.9940 0.9941 0.9945 0.9946 0.9948 0.9952 2.5 0.9943 0.9949 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9962 0.9960 0.9961 2.6 0.9969 0.9973 2.7 0.9965 0.9966 0.9967 0.9968 0.9970 0.9971 0.9972 2.7 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 2.8 2.9 0.9981 0.9982 0.9982 0.9985 0.9985 0.9983 0.9986 0.9984 2.9 0.9984 0.9989 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9990 0.9990 3.0 0.9990 0.9991 0.9991 0.9992 0.9991 0.9993 0.9992 0.9993 3.1 0.9992 0.9992 0.9995 0.9993 3.2 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 0.9995 0.9996 0.9995 0.9996 0.9997 3.3 0.9996 0.9996 0.9996 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4 .01 .02 .03 .04 .05 .06 .07 .08 .09 z 0.9932 0.9934 0.9951 0.9963 0.9964 0.9974 0.9981 0.9986 2 Dr

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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I need  help with this parts d e and f specially please

Given a standard normal distribution, find the areas in part (a) through (f) below.
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
(a) Find the area under the curve that lies to the left of z = -1.26.
The area is
(Round to four decimal places as needed.)
(b) Find the area under the curve that lies to the right of z = 1.93.
The area is
(Round to four decimal places as needed.)
(c) Find the area under the curve that lies between z = -2.22 and z = -0.77.
The area is
(Round to four decimal places as needed.)
(d) Find the area under the curve that lies to the left of z = 1.55.
The area is
(Round to four decimal places as needed.)
(e) Find the area under the curve that lies to the right of z = -0.95.
The area is
(Round to four decimal places as needed.)
(f) Find the area under the curve that lies between z = -0.59 and z = 1.78.
The area is
(Round to four decimal places as needed.)
Transcribed Image Text:Given a standard normal distribution, find the areas in part (a) through (f) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the area under the curve that lies to the left of z = -1.26. The area is (Round to four decimal places as needed.) (b) Find the area under the curve that lies to the right of z = 1.93. The area is (Round to four decimal places as needed.) (c) Find the area under the curve that lies between z = -2.22 and z = -0.77. The area is (Round to four decimal places as needed.) (d) Find the area under the curve that lies to the left of z = 1.55. The area is (Round to four decimal places as needed.) (e) Find the area under the curve that lies to the right of z = -0.95. The area is (Round to four decimal places as needed.) (f) Find the area under the curve that lies between z = -0.59 and z = 1.78. The area is (Round to four decimal places as needed.)
Areas under the Normal Curve
☑=
Areas under the Normal Curve
.00
.01
0.0041
0.1515
0.1841 0.1814
0.1788
0.1762
0.1736
.02
.03
.04
-3.4 0.0003 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 0.0004
-3.2
0.0007
0.0007
0.0006
0.0006 0.0006 0.0006
0.0006
0.0005
-3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008
-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011
-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015
0.0026 0.0025 0.0024 0.0023
-2.8
0.0023 0.0022 0.0021 0.0021
0.0034 0.0033 0.0032
-2.7
0.0031
0.0035
0.0030 0.0029 0.0028
0.0047 0.0045 0.0044 0.0043
0.0040
-2.6
0.0039 0.0038
-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051
-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068
-2.3
0.0099
0.0107
0.0096
0.0104
0.0094
0.0102
0.0091
-2.2 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122
0.0174
-2.1
0.0170
0.0166
0.0179
-2.0 0.0228
0.0217
0.0222
0.0212
-2.0
-1.9 0.0287
0.0233
0.0281 0.0274
0.0262 0.0256
0.0239
0.0268
-1.9
-1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0.0322 0.0314
0.0301 0.0294 -1.8
-1.7 0.0446 0.0436 0.0427 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0367 -1.7
0.0548 0.0537
-1.6
0.0516
0.0526
0.0485
0.0505 0.0495
0.0475 0.0465
-1.6
0.0455
-1.5 0.0668 0.0655
0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0559 -1.5
0.0764
0.0721
0,0694
-1.4 0.0808
-1.4
0.0793 0.0778
0.0749 0.0735
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 -1.3
-1.2 0.1151
0.1038
0.1131 0.1112 0.1093 0.1075 0.1056
0.1020 0.1003 0.0985 -1.2
-1.1 0.1357 0.1335 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1170 -1.1
-1.0 0.1587 0.1562
0.1401
0.1492 0.1469 0.1446
0.1539
0.1379
-0.9
0.1635
.05
.06
.07
.08
.09
0.0003 0.0002 -3.4
0.0004 0.0003 -3.3
0.0005 0.0005 -3.2
0.0007 0.0007 -3.1
0.0010 -3.0
0.0010
0.0014 0.0014 -2.9
0.0020 0.0019 -2.8
0.0027
0.0037
0.0049
>
2
.02
.03
.04
0.0026 -2.7
0.0036 -2.6
0.0048 -2.5
0.0066 0.0064 -2.4
0.0089
0.0087
0.0084 -2.3
0.0119
0.0116
0.0113
0.0110 -2.2
1.2
0.0162 0.0158
0.0207
0.0154
1.3
0.9066
0.0150
0.0146
0.0143 -2.1
0.0202
0.0197
0.9222
0.9236
0.0192
0.0188
0.0183
0.9251
0.9370
0.0250
0.0244
0.0307
0.1423
-1.0
0.1711
0.1685
0.1660
0.1611
-0.9
0.2033
0.2327
0.3085 0.3050
-0.5
0.3015
-0.4
0.3446 0.3409 0.3372
0.3821
-0.3
0.3745
0.3783
-0.2 0.4207 0.4168 0.4129
-0.1 0.4602 0.4562 0.4522
-0.0 0.5000 0.4960 0.4920
.00
.01
.02
0.4483
0.4880
.03
-0.8 0.2119 0.2090 0.2061
-0.7 0.2420 0.2389 0.2358
-0.6 0.2743 0.2709 0.2676 0.2643 0.2611 0.2578 0.2546
0.2946 0.2912
0.2981
0.2877
0.3336 0.3300 0.3264 0.3228 0.3192
0.3707
0.3594
0.3669 0.3632
0.3557
0.4090
0.4013
0.3936
0.3974
0.4052
0.4325
0.4443 0.4404
0.4364
0.4840 0.4801 0.4761 0.4721
.04
.05
.06
.07
0.2005
0.1977
0.1949
0.1922
0.1894
0.1867
-0.8
0.2296 0.2266
0.2236
0.2206
0.2177
0.2148
-0.7
1
0.2514
0.2483 0.2451 -0.6
0.2843
0.2810 0.2776 -0.5
+
2
3.0
.08
0.3156 0.3121 -0.4
-0.3
0.3520 0.3483
0.3897 0.3859 -0.2
0.4247 -0.1
0.4286
0.4681 0.4641 -0.0
.09
3.1
3.2
3.3
3.4
.00
.00 .01
.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 0.0
0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1
0.2 0.5793 0.5832 0.5871
0.2
0.5910
0.5987
0.5948
0.6064
0.6026
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 0.3
0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4
0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5
0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6
0.7 0.7580 0.7611 0.7642 0.7673
0.7
0.7704 0.7734 0.7764 0.7794 0.7823 0.7852
0.8 0.7881 0.7910 0.7939 0.7967 0.7995
0.8078
0.8023 0.8051
0.8106 0.8133 0.8
0.9 0.8159
0.8264
0.8186 0.8212 0.8238
0.8289 0.8315 0.8340 0.8365 0.8389 0.9
1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0
1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1
0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.2
0.9032 0.9049
0.9082
0.9115
0.9147
0.9099
0.9177
0.9131
1.3
0.9162
1.4 0.9192 0.9207
0.9319
0.9265 0.9279 0.9292 0.9306
1.4
1.5
0.9345
0.9418
0.9332
0.9441
0.9357
1.5
0.9382 0.9394 0.9406
0.9429
0.9495
1.6 0.9452 0.9463 0.9474 0.9484
0.9505 0.9515 0.9525 0.9535 0.9545 1.6
1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 0.9608 0.9616 0.9625 0.9633 1.7
0.9656
1.8
0.9664
0.9693
0.9686
0.9641 0.9649
1.8
0.9671 0.9678
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 1.9
2.0 0.9772 0.9778 0.9783 0.9788
0.9798 0.9803
0,9812
2.0
0.9793
0.9808
0.9817
2.1 0.9821 0.9826 0.9830 0.9834 0.9838 0.9842 0.9846 0.9850 0.9854 0.9857 2.1
2.2
0.9864
0.9875
0.9861
0.9881
0.9868 0.9871
0.9890 2.2
0.9878
0.9884 0.9887
2.3
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
0.9927
0.9920
2.4
0.9922 0.9925
0.9929 0.9931
0.9936
2.5 0.9938 0.9940 0.9941
0.9945 0.9946 0.9948
0.9952 2.5
0.9943
0.9949
2.6 0.9953 0.9955 0.9956 0.9957 0.9959
0.9962
0.9960 0.9961
2.6
0.9969
0.9973
2.7 0.9965
0.9966
0.9967 0.9968
0.9970 0.9971 0.9972
2.7
2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980
2.8
2.9 0.9981
0.9982
0.9982
0.9985 0.9985
0.9983
0.9986
0.9984
2.9
0.9984
0.9989
0.9987 0.9987 0.9987 0.9988 0.9988
0.9989 0.9989 0.9990 0.9990 3.0
0.9990 0.9991
0.9991
0.9992
0.9991
0.9993
0.9992
0.9993 3.1
0.9992 0.9992
0.9995
0.9993
3.2
0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995
0.9995
0.9995
0.9995
0.9996
0.9995
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Dr
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