Determine the area under the standard normal curve that lies between (a) Z= -2.23 and Z=2.23. (b) Z=-2.04 and Z=0, and (c) Z= - 2.16 and Z=0.78. Determine the area under the standard normal curve that lies between (a) Z= -2.23 and Z= 2.23, (b) Z= -2.04 and Z = 0, and (c) Z= -2.16 and Z = 0.78.Click the icon to view a table of areas under the normal curve.(a) The area that lies between Z= - 2.23 and Z = 2.23 is(Round to four decimal places as needed.) Tables of Areas under the Normal Curve0AreaTABLE Vz.00.01.07 .08 .09-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002-3.30.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.00040.0004 0.0004 0.0003-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005-3.1 0.0010 0.00090.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010Standard Normal Distribution.02 .03 .04 .05 .06-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014-2.8 0.0026 0.00250.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084-2.2 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 0.0143-2.0 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 0.04360.0427 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

Question

Determine the area under the standard normal curve that lies between (a) Z= -2.23 and Z=2.23. (b) Z=-2.04 and Z=0, and (c) Z= - 2.16 and Z=0.78. Determine the area under the standard normal curve that lies between (a) Z= -2.23 and Z= 2.23, (b) Z= -2.04 and Z = 0, and (c) Z= -2.16 and Z = 0.78.Click the icon to view a table of areas under the normal curve.(a) The area that lies between Z= - 2.23 and Z = 2.23 is(Round to four decimal places as needed.) Tables of Areas under the Normal Curve0AreaTABLE Vz.00.01.07 .08 .09-3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002-3.30.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.00040.0004 0.0004 0.0003-3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005-3.1 0.0010 0.00090.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007-3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010Standard Normal Distribution.02 .03 .04 .05 .06-2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014-2.8 0.0026 0.00250.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020-2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027-2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037-2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049-2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064-2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084-2.2 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 0.0143-2.0 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 0.04360.0427 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 0.0559Print0.0901 0.0885 0.0869 0.0853 0.0838 0.08230.1075 0.1056 0.1038 0.1020 0.10030.09850.1271 0.1251 0.1230 0.1210 0.1190 0.11700.1492 0.1469 0.1446 0.1423 0.1401 0.13790.1711 0.1685 0.1660 0.16350.1977 0.1949 0.1922 0.18940.1611-1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681-1.3 0.0968 0.0951 0.09340.0918-1.2 0.1151 0.1131 0.1112 0.1093-1.1 0.1357 0.1335 0.1314 0.1292-1.0 0.1587 0.1562 0.1539 0.1515-0.9 0.1841 0.1814 0.1788 0.1762 0.1736-0.8 0.2119 0.2090 0.2061 0.2033 0.20050.1867-0.7 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 0.2451-0.5 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 0.3372 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 0.3632 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 0.4761 0.4721 0.4681 0.46410.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.53590.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 05714 0.57530.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.61410.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.65170.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.68790.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.71230.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.74540.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.77640.00140.00190.00260.00360.0048Done0.7157 0.7190 0.72240.7486 0.7517 0.75490.7794 0.7823 0.7852-X

Accepted Answer

The random variable Z is the standard normal variable with mean 0 and standard deviation 1 .