PLEASE SHOW WORK

An office manager has received a report from a consultant that includes a section on equipment replacement. The repon indicates that scanners have a service life that is normally distributed with a mean of 57 months and a standard deviation of 6 months. On the basis of this information, determine the proportion of scanners that can be expected to fall in the following time periods: 0 1 Table A Areas under the normal curvo, to z 09 .07 OB 05 .06 .00 .02 .03 .04 .01 Z 0.0 0.1 0.2 0.3 0.4 0000 0398 .0793 .1179 1554 0040 0438 0832 .1217 1591 0030 0478 .0871 .1255 .1628 0120 0517 0910 .1293 1654 0160 0557 0948 1331 1700 0199 0596 0907 .1368 1735 0239 0636 1025 1405 .1772 0279 0875 1064 .140 1808 0919 0714 1103 1480 1844 1577 1078 2724 2549 .1915 0.5 0.6 0.7 0.8 0.9 2052 1950 2291 2611 2910 1985 2324 2642 2939 3212 2257 2580 2881 3159 2019 2357 2673 2967 3238 2054 2389 2703 2995 3264 2088 2422 2734 3023 3289 2150 2517 2823 3106 3385 2123 2454 2764 3051 3315 2157 2480 2794 3078 3340 3389 3186 1.0 1.1 1.2 1.3 1.4 3413 3643 3849 4032 4192 3461 3686 3888 4056 4222 3438 3665 3869 4049 4207 3485 3708 3907 4082 4236 3508 3729 3925 4099 4251 3599 3810 399 A162 3531 3749 3944 A115 4265 3554 3770 2962 4131 A279 3577 3790 3980 4141 4292 3621 3830 A015 A177 4319 4305 4394 4357 4332 4452 4554 .4641 .4713 1.5 1.6 1.7 1.8 1.9 1345 .4463 4564 4649 4719 4370 4484 4582 4564 4732 4382 4495 4591 4671 4738 4474 4573 4656 4726 A505 4599 4678 4744 4406 4515 4608 ABBE 4750 4441 .4545 4833 4706 4767 4429 ASUS 4625 4699 A761 4418 4525 4616 4693 4756 APD2 A812 4857 4809 4850 A803 4846 4798 4842 4793 4838 4788 4834 4783 4830 .4778 4826 .4772 4821 20 21 13 1.9 4549 6719 4656 4720 4664 4713 4772 A 4678 4744 4708 A2 20 2.1 22 4713 4830 4060 477 6126 4064 e98 .6920 AD12 4671 4728 4780 4838 4875 4904 4927 4700 4834 4871 4901 4925 4061 4833 4918 23 AN A700 ASZ ABDB AD 4929 A300 ABS 4821 A900 4931 4384 24 4922 A16 ART 1941 A946 1949 A951 2.5 20 27 28 29 4938 4953 4965 4974 4981 1940 4955 .4966 4975 4956 4967 4978 4982 4943 4957 4998 4977 4983 4945 4959 4960 .4977 4984 4950 1970 ASTB 1984 4148 4961 4971 4979 4985 ANTS 4972 1979 4985 04 1994 ASRI A95 .4987 4987 4988 4988 4989 1989 4989 AYGO 3.0 1987 Table B 1. Areas under the Standardized normal curve, from -- o -2 .09 .08 .07 .06 .05.04 .03 .02 .01 ,00 Z 0002 .0003 0005 .0007 .0010 .0003 0004 .0005 0007 0003 0004 .0005 0008 0011 .0003 .0004 .0006 .0008 .0011 .0003 0004 0006 0008 0011 .0003 .0004 0006 .0008 0012 .0003 .0004 .0006 0009 .0012 0003 .0005 0006 .0009 .0013 0003 0005 0007 0009 .0013 0003 0005 .0007 .0010 0013 -34 -33 -32 -31 -3.0 .0010 0016 .0018 .0014 .0019 .0026 0036 .0048 0014 .0020 0027 .0037 .0049 .0015 .0021 .0028 0038 0051 0015 .0021 .0029 .0039 .0052 .0016 .0022 ,0030 0040 0054 0031 0041 .0055 ,0017 0023 .0032 ,0043 0057 .0018 .0024 .0033 0044 .0059 .0034 .0045 .0060 .0019 0026 0035 .0047 .0062 -2.9 -2.8 -2.7 -2.6 -25 .0064 .0068 .0066 0071 .0075 .0078 .0080 -2.4 .0082 .0069 RANG .0073 ANA AR RE AAA. AR ARAR -1401 1423 1445 1514 1460 1492 1515 1520 13005 .1562 1357 1589 - 1.1 -10 18 .1736 2005 .1611 1867 2148 2451 2776 .1635 .1894 2177 2483 2810 1660 .1922 2206 2514 2843 1685 .1949 2236 2546 2877 1711 1977 2266 2578 2912 2296 2611 2946 1762 2033 2327 2543 2981 1788 2061 2358 2678 3015 1814 2090 2389 2709 3050 1841 2110 2420 27 3085 -0.5 -05 3121 3483 3859 .4247 .4641 3156 3520 3897 4286 .4681 3192 3557 3936 4325 4721 3228 3594 3974 4364 4761 3264 -3632 .4013 4404 4801 3300 3669 .4052 4443 4840 3336 3707 4090 4483 .4880 3372 3745 4129 .4522 4920 3409 3783 4168 4562 4960 3445 3821 A207 4602 5000 -04 -03 -02 -01 -0.0 a. Before 49 months of service. (Round z values to 2 decimal places, probability calculations to 4 de answer to 4 decimal places.) T Proportion of scanners 449 b. Between 56 and 62 months of service. (Round z values to 2 decimal places, probability calculations to 4 decimal places and your final answer to 4 decimal places.) Proportion or scanners 56