Question

Let x be a continuous random variable with a standard normal distribution. Using the accompanying standard normal distribution table, find P(-1.27 sxs0). Click the icon to view the standard normal distribution table. Areas for a Standard Normal Distribution Х P(-1.275x50)=(Round to four decimal places as needed.) Entries in the table represent area under the curve between z = 0 and a positive value of z. Because of the symmetry of the curve, area under the curve between z = 0 and a negative value of z would be found in a similar manner. z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.0000 0.0040 0.0080 0.0120 0.0160 0.0199 0.0239 0.0279 0.0319 0.0359 0.1 0.0398 0.0438 0.0478 0.0517 0.0557 0.0596 0.0636 0.0675 0.0714 0.0753 0.2 0.0793 0.0832 0.0871 0.0910 0.0948 0.0987 0.1026 0.1064 0.1103 0.1141 0.3 0.1179 0.1217 0.1255 0.1293 0.1331 0.1368 0.1406 0.1443 0.1480 0.1517 0.4 0.1554 0.1591 0.1628 0.1664 0.1700 0.1736 0.1772 0.1808 0.1844 0.1879 0.5 0.1915 0.1950 0.1985 0.2019 0.2054 0.2088 0.2123 0.2157 0.2190 0.2224 0.6 0.2257 0.2291 0.2324 0.2357 0.2389 0.2422 0.2454 0.2486 0.2517 0.2549 0.7 0.2580 0.2611 0.2642 0.2673 0.2704 0.2734 0.2764 0.2794 0.2823 0.2852 0.8 0.2881 0.2910 0.2939 0.2967 0.2995 0.3023 0.3051 0.3078 0.3106 0.3133 0.9 0.3159 0.3186 0.3212 0.3238 0.3264 0.3289 0.3315 0.3340 0.3365 0.3389 1.0 0.3413 0.3438 0.3461 0.3485 0.3508 0.3531 0.3554 0.3577 0.3599 0.3621 1.1 0.3643 0.3665 0.3686 0.3708 0.3729 0.3749 0.3770 0.3790 0.3810 0.3830 1.2 0.3849 0.3869 0.3888 0.3907 0.3925 0.3944 0.3962 0.3980 0.3997 0.4015 1.3 0.4032 0.4049 0.4066 0.4082 0.4099 0.4115 0.4131 0.4147 0.4162 0.4177 1.4 0.4192 0.4207 0.4222 0.4236 0.4251 0.4265 0.4279 0.4292 0.4306 0.4319 1.5 0.4332 0.4345 0.4357 0.4370 0.4382 0.4394 0.4406 0.4418 0.4429 0.4441 1.6 0.4452 0.4463 0.4474 0.4484 0.4495 0.4505 0.4515 0.4525 0.4535 0.4545 1.7 0.4554 0.4564 0.4573 0.4582 0.4591 0.4599 0.4608 0.4616 0.4625 0.4633 1.8 0.4641 0.4649 0.4656 0.4664 0.4671 0.4678 0.4686 0.4693 0.4699 0.4706 1.9 0.4713 0.4719 0.4726 0.4732 0.4738 0.4744 0.4750 0.4756 0.4761 0.4767 2.0 0.4772 0.4778 0.4783 0.4788 0.4793 0.4798 0.4803 0.4808 0.4812 0.4817 2.1 0.4821 0.4826 0.4830 0.4834 0.4838 0.4842 0.4846 0.4850 0.4854 0.4857 2.2 0.4861 0.4864 0.4868 0.4871 0.4875 0.4878 0.4881 0.4884 0.4887 0.4890 2.3 0.4893 0.4896 0.4898 0.4901 0.4904 0.4906 0.4909 0.4911 0.4913 0.4916 Enter your answer in the answer box.

thank you!!

Answer 1

Solution:
We need to calculate probability P(-1.27<=X<=0) which can be calculated as
P(-1.27<=X<=0) = P(X<=0) - P(X<=-1.27)
From Z table we found p-value
P(-1.27<=X<=0) = P(X<=0) - P(X<=-1.27) = 0.5 - 0.1020 = 0.398
P(-1.27<=X<=0) = 0.398

7= -111

90 00031 00030 00026 16000 IE100 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. z .00 .01 .02 .04 .495 .07 ON .09 00005 00003 00004 00004 00004 00004 00004 00004 00003 00003 -3.8 00007 00007 00007 00006 00006 00006 00006 00005 00003 0000S -3.7 00011 .00010 00010 00010 00009 00009 00008 00004 00008 .00008 -3.6 00016 00015 00015 00014 00014 00013 00013 00012 00012 00011 -3.5 00023 00022 00022 00021 00020 00019 00019 00018 00017 00017 00034 00032 00029 00028 00027 00025 00024 -3.3 00048 00047 00045 00043 00042 .00040 00039 00038 00036 00035 -3.2 00069 00066 .00064 00062 00060 00058 00036 .00054 00052 00050 -3.1 00097 00090 0007 00084 00012 .00079 00076 00074 00071 -3.0 00135 00126 00122 00118 00114 00111 00107 00104 00100 -2.9 00187 00181 00175 00169 00164 00159 00154 00149 00144 00139 -2.8 002:56 00248 00240 .00233 00226 00219 00212 00205 00199 00193 -2.7 00147 00136 00326 00317 00307 00298 00289 00280 00272 00264 -2.6 .00-166 00153 00140 00427 00415 00402 0039 00379 00168 00357 -2.5 00621 00604 00587 00570 OOSS4 00539 00523 00504 00494 00450 -2.4 O0R20 0079 00776 00755 00734 00714 00695 00676 00557 006.39 -23 01072 01044 01017 00990 00964 .00939 .00914 00889 00866 00842 -2.2 01390 01355 01121 01287 01255 01222 01191 .01160 01130 01101 -2.1 01786 01743 01700 .01659 01618 01578 .01539 01500 01463 01426 -2.0 02275 02222 02169 02.11 02068 02018 01970 01923 O1876 01631 -1.9 02872 02807 02743 02680 02619 02559 02500 02442 02385 02330 -1.8 03593 03513 03438 03362 0328 03216 03144 03074 03005 02938 -1.7 04457 0416 04272 04182 04093 044006 01920 03836 03754 03673 -1.6 05480 05370 05262 05155 05050 04947 04846 .04746 04648 .04551 -1.5 06681 06552 06126 06301 06178 06057 05938 05821 05705 09592 -1.4 08076 07927 07780 U7636 07493 07353 07215 79 06R11 09680 09510 09342 09176 09012 OXASI ON 08226 -1.2 11507 11314 11123 10935 10749 10565 10 10204 10 09853 -1.1 13567 .13350 13136 .12924 12714 12507 121 11702 -1.0 15866 15625 1536 15151 14917 14686 14457 114007 13786 -0.9 18406 18141 .17879 17619 17361 17106 16853 16602 16354 16109 -0.8 21186 20197 20611 20327 20045 19766 19419 19213 18943 18673 -0,7 24196 23885 23576 23270 27965 12663 22363 22065 21770 21476 -0.6 27425 27093 26763 26435 26109 25785 25463 251-13 24825 24510 -0.5 30854 30503 30153 29806 79.460 29116 28774 2434 28096 27760 -0.4 34458 34090 33724 33360 32997 32636 32276 31913 31561 31207 -0.3 38209 37428 3744 37070 36693 36317 35942 33369 33197 34821 94 40905 40517 40129 39743 39358 38974 38591 001.12 44828 44433 .44018 43644 43251 42858 -42465 -0.0 s0000 48803 .48-40S 48006 47608 47210 -46812 46014 STANDARD NORMAL DISTRIBUTION: Table Values Represent AREA to the LEFT of the Z score. z 00 .01 .02 .04 05 .07 .08 .09 0.0 50000 50399 50798 51197 S1595 51994 $2192 $2790 53188 53556 0.1 53983 54380 54776 55172 55567 55962 56356 56749 57142 57535 0.2 $7926 58317 58706 59095 59483 59871 .60257 60642 61026 61409 0.3 .61791 62172 62552 62930 63307 63683 64058 61431 61803 .63173 0.4 65542 69910 66226 66610 67003 67364 62734 6N082 68439 68793