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Find the value of z if the area under a standard normal curve (a) to the right of z is 0.3228; (b) to the left of z is 0.1271; (c) between 0 and z, with z> 0, is 0.4890; and (d) between -z and z, with z> 0, is 0.9500. Click here to view page 1 of the standard normal distribution table

Find the value of z if the area under a standard normal curve (a) to the right of z is 0.3228; (b) to the left of z is 0.1271; (c) between 0 and z, with z> 0, is 0.4890; and (d) between -z and z, with z> 0, is 0.9500. Click here to view page 1 of the standard normal distribution table

Calculus For The Life Sciences
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 8E
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Find the value of z if the area under a standard normal curve (a) to the right of z is 0.3228; (b) to the left of z is 0.1271; (c) between 0 and z, with z> 0, is 0.4890; and (d) between -zand z, with z> 0, is 0.9500. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
Transcribed Image Text:Find the value of z if the area under a standard normal curve (a) to the right of z is 0.3228; (b) to the left of z is 0.1271; (c) between 0 and z, with z> 0, is 0.4890; and (d) between -zand z, with z> 0, is 0.9500. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
Areas under the Normal Curve 01 00 02 03 .04 .05 .06 08 09 0.0003 0.0004 -3.4 -3.4 -3.3 -3.2 0.0007 0.0007 -3.1 -3.0 0.0003 0.0003 0.0003 0.0005 0.0005 0.0006 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.000 0.0003 0.0002 0.0003 -3.3 0.0005 -3.2 0.0007 0.0005 0.0004 0.0004 0.0006 0.0006 0.0008 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.001 0.0010 0.0010 -3.0 0.0006 0.0006 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 -3.1 -29 -2.8 -2.7 -2.6 -25 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -29 0.0020 0.0019 -28 0.0030 0.0029 0.0028 0.0027 0.0026 -27 0.0040 0.0039 0.0038 0.0037 0.0036 -26 0.008 -25 0.021 0.0026 0.0035 0.0047 0.0062 0.0025 0.0034 0.0045 0.0024 0.0023 0.0023 0.0033 0.0044 0.0043 0.0022 0.0021 0.0032 0.0031 0.0041 0.0060 0.009 0.0057 0.00GS 0.0054 0.0052 0.0061 0.009 --24 0.0082 0.0080 -23 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -24 0.0084 -23 0.0110 -22 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 -22 -2.1 -2.0 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0179 0.0228 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0222 0.0146 0.0143 -21 0.0183 -20 0.0217 0.0212 0.0207 0.0197 0.0192 0.0188 -1.9 0.0287 --18 0.0359 0.0446 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0329 0.0322 0.009 0.0233 -1.9 0.0314 0.0307 0.0001 0.0294 -18 0.0067 -1.7 0.0239 0.0351 0.0344 0.0336 0.0418 -1.7 0.0436 0.0427 0.001 0.0392 0.0384 0.0375 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.065 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0643 0.0630 0.0618 0.0606 0.0594 0.0682 0.0571 0.0559 -1.5 0.0808 0.0793 0.00G8 -1.2 0.1151 0.0735 0.0885 0.1131 0.1112 0.1093 0.1075 0.1066 0.1008 0.1020 0.1003 0.0085 -12 0.0764 0.0961 0.0034 0.0018 0.0901 0,0708 0.0604 0.0681 -14 0.0838 0.0778 0.0749 -1.4 -13 0.0721 0.0869 0.083 0.0823 -13 0.1335 0.1314 0.1292 0.1271 0.125I 0.1230 0.1210 0.1446 0.1423 -1.1 0.1357 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1401 0.1379 -1O -0.9 0.1841 0.2119 0.2420 0.1814 0.2000 0.239 0.2709 0.3060 0.1788 0.1762 0.1736 0.1711 0.2061 0.2033 0.200G 0.1977 0.199 0.1922 0.1894 0.1867 -08 0.2358 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 -0.7 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2483 0.2810 02776 -0.5 0.2148 -0.7 0.6 -0.5 0.2743 0.2676 0.2643 0.2611 0.2578 0.25-46 0.2514 0.2151 0.6 0.2981 0.3372 0.3336 0.3300 0.3085 0.3015 0.2946 0.2912 0.2877 0.2843 -0.4 0.3446 0.3409 0.3121 0.3264 0.3228 0.3632 0.3192 0.3156 -0.4 0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3594 0.3557 0.3974 0.3Os 0.4325 0.3520 0.3483 0.3859 03 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3897 -0.2 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4286 0.4247 0.4641 -0.0 -0.1 -0.0 0.5000 0.490 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 .00 01 02 .03 .04 .05 .06 07 08 09
Transcribed Image Text:Areas under the Normal Curve 01 00 02 03 .04 .05 .06 08 09 0.0003 0.0004 -3.4 -3.4 -3.3 -3.2 0.0007 0.0007 -3.1 -3.0 0.0003 0.0003 0.0003 0.0005 0.0005 0.0006 0.0003 0.0003 0.0003 0.0004 0.0004 0.0004 0.000 0.0003 0.0002 0.0003 -3.3 0.0005 -3.2 0.0007 0.0005 0.0004 0.0004 0.0006 0.0006 0.0008 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.001 0.0010 0.0010 -3.0 0.0006 0.0006 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0007 -3.1 -29 -2.8 -2.7 -2.6 -25 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -29 0.0020 0.0019 -28 0.0030 0.0029 0.0028 0.0027 0.0026 -27 0.0040 0.0039 0.0038 0.0037 0.0036 -26 0.008 -25 0.021 0.0026 0.0035 0.0047 0.0062 0.0025 0.0034 0.0045 0.0024 0.0023 0.0023 0.0033 0.0044 0.0043 0.0022 0.0021 0.0032 0.0031 0.0041 0.0060 0.009 0.0057 0.00GS 0.0054 0.0052 0.0061 0.009 --24 0.0082 0.0080 -23 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -24 0.0084 -23 0.0110 -22 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 -22 -2.1 -2.0 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0179 0.0228 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 0.0222 0.0146 0.0143 -21 0.0183 -20 0.0217 0.0212 0.0207 0.0197 0.0192 0.0188 -1.9 0.0287 --18 0.0359 0.0446 0.0281 0.0274 0.0268 0.0262 0.0256 0.0250 0.0244 0.0329 0.0322 0.009 0.0233 -1.9 0.0314 0.0307 0.0001 0.0294 -18 0.0067 -1.7 0.0239 0.0351 0.0344 0.0336 0.0418 -1.7 0.0436 0.0427 0.001 0.0392 0.0384 0.0375 -1.6 0.0548 0.0537 0.0526 0.0516 0.0505 0.065 0.0495 0.0485 0.0475 0.0465 0.0455 -1.6 -1.5 0.0668 0.0643 0.0630 0.0618 0.0606 0.0594 0.0682 0.0571 0.0559 -1.5 0.0808 0.0793 0.00G8 -1.2 0.1151 0.0735 0.0885 0.1131 0.1112 0.1093 0.1075 0.1066 0.1008 0.1020 0.1003 0.0085 -12 0.0764 0.0961 0.0034 0.0018 0.0901 0,0708 0.0604 0.0681 -14 0.0838 0.0778 0.0749 -1.4 -13 0.0721 0.0869 0.083 0.0823 -13 0.1335 0.1314 0.1292 0.1271 0.125I 0.1230 0.1210 0.1446 0.1423 -1.1 0.1357 0.1190 0.1170 -1.1 -1.0 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1401 0.1379 -1O -0.9 0.1841 0.2119 0.2420 0.1814 0.2000 0.239 0.2709 0.3060 0.1788 0.1762 0.1736 0.1711 0.2061 0.2033 0.200G 0.1977 0.199 0.1922 0.1894 0.1867 -08 0.2358 0.1685 0.1660 0.1635 0.1611 -0.9 -0.8 -0.7 0.2327 0.2296 0.2266 0.2236 0.2206 0.2177 0.2483 0.2810 02776 -0.5 0.2148 -0.7 0.6 -0.5 0.2743 0.2676 0.2643 0.2611 0.2578 0.25-46 0.2514 0.2151 0.6 0.2981 0.3372 0.3336 0.3300 0.3085 0.3015 0.2946 0.2912 0.2877 0.2843 -0.4 0.3446 0.3409 0.3121 0.3264 0.3228 0.3632 0.3192 0.3156 -0.4 0.3 0.3821 0.3783 0.3745 0.3707 0.3669 0.3594 0.3557 0.3974 0.3Os 0.4325 0.3520 0.3483 0.3859 03 -0.2 0.4207 0.4168 0.4129 0.4090 0.4052 0.4013 0.3897 -0.2 -0.1 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4286 0.4247 0.4641 -0.0 -0.1 -0.0 0.5000 0.490 0.4920 0.4880 0.4840 0.4801 0.4761 0.4721 0.4681 .00 01 02 .03 .04 .05 .06 07 08 09
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