Question

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Round to four decimal places 1.82 z OA. 0.9656 B. -0.0344 O C. 0.4656 O D. 0.0344

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Answer #1

The area of the shaded region will be calculated by finding the p value using Z statistic table .

The area to the right of Z score -1.82 cab be seen at the --e value of Z score in the graph which always shows the area to the left , here it shows the area to the left of Z=-1.82 as 0.0344, hence for the area to the right or the shaded region. Calculated as

A. 1-0.0344=0.9656

8:7 34 0003 0003 .0003 003 0003 0003 003 0003 0003 002 3.3 .0005 .0005 .0005 0004 0004 .0004 0004 0004 .0004 0003 32 0007 0007 0006 .0005 .0005 .0006 .0005 0005 0005 0005 3.1 .0010 0009 .0009 0009 .0008 0008 .0008 0008 0007 0007 3.0 .0013 0013 0013 0012 0012 0011 .0011 0011 0010 .0010 2.9 .0019 .0018 .0018 .0017 0016 .0016 .0015 0015 .0014 .0014 28 0026 0025 0024 0023 0023 0022 0021 021 0020 0019 -2.7 .0035 .0034 .0033 .0032 .0031 0030 0029 0028 0027 0026 0045 .0044 003 .004 25 00620060 0059 0057 .0055 0054 .0052 0051 0049 .0049 2.4 0082 0080 078 0075 ,003.0069068 0066 0064 -23 .0107 0104 .0102 099 0096 0094 0091 009 007 0084 -22 .0139 0136 .0132 .0129 .0125 .0122 0119 0116 0113 0110 2.1 .0179 0174 .0170 .0166 .0162 .0158 .0154 0150 0146 .0143 2.0 0228 0222 021 .0212 0207 0202 0197 0192 .0188 0183 -1.9 .0287 0281 0274 .0268 0262 0256 020 0244 .0239 .0233 18 0359 0351 0344 0335 0329 .0322 0314 0307 0301 .0294 1.7 .0446 .0436 .0427 .0418 .0409 .0401 .0392-0384 .0375 .0367 16 0S49 0537 0526 .0516 .0S05 0495 0485 0475 0465 0455 1.5 .0668 .0655 .0643 .0630 .0618 .0606 .0594 .0582 .0571 .0559 -1.4 0808 0793 0778 .0764 .0749 0735 .0721 0708 0691 .0681 1.3 0958 0951 0934 0918 0901 0885 .0869 0853 0838 0823 1.2 1151 1131 .1112 1093 10751056 1038 1020 1003 0985 -1.1 1357 1335 1314 .1292 .1271 1251 1230 1210 1190 1170 10 .1587 1562 153 .1515 .1492 1469 1446 1423 1401 0.9 .1841 1814 .1788 1762 1736 1711 1685 1660 1635 .1611 -0.8 2119 2090 2061.2033.20051977 19491922 1894 .1867 0.7 2420 2389 2358 2327 2296 .2266 2236 2206 2177 2148 -0.6 27432709 2 0.5 .3085 3050 3015 .2981 2946 2912 2877 2843 2810 2776 04 3446 3409 3372 .3336.3300 .3261 .3228 3192 3156 3121 -0.3 3821 3783 3745 3707 3669 .3632 3594 3557 3520 3183 02 4207 4168 4129 4090 4052 4013 3974 3936 3897 .3859 -Q1 .4602 .4562 .4522 .4483 ,4443 ,4404 ,4364 ,4325 ,4286 ,4247 0.0 5000 4960 4920 80 840 401 761 4721 4691 4641 2676 2643 2611 2578 2546 2514 2483 2451

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