See Screenshot
The amount of calories adult males consume at dinner follows a normal distribution with a mean of 1200 calories and a standard deviation of 200 calories. If I decide to diet and try to match my calorie intake to the point that identifies the highest 20% mark in the distribution, how many calories would I be consuming? Normal Curve Areas 0 Z 00 .01 .02 03 04 05 06 07 08 09 0000 0040 .0080 .0120 0160 0199 0239 0398 0438 .0279 0319 0478 10359 .0517 .0557 .0596 0793 .0636 0832 .0675 .0871 0714 0753 .0910 0948 .1179 .0987 .1217 .1026 1255 .1064 .1293 .1103 1331 1141 1368 .1554 1591 .1406 1443 .1628 .1664 1480 1517 1700 1736 .1915 .1950 .1772 1808 1985 .1844 .2019 1879 .2054 2088 .2123 .2157 .2257 .2190 .2224 .2291 2324 .2357 2389 .2422 .2580 .2454 .2611 .2486 .2642 .2517 .2673 .2549 2704 .2734 2881 2910 .2764 2939 .2794 .2823 2967 2852 2995 3023 3159 3186 3051 3212 .3078 3106 3238 3133 3264 1.0 3289 3413 3438 .3315 3340 3461 .3365 .3485 .3389 3508 3531 .3554 .3577 1.1 .3599 3643 3665 3621 3686 .3708 1.2 .3729 3849 .3749 .3770 3869 .3790 3888 3810 3830 1.3 .3907 .3925 4032 3944 4049 .3962 4066 .3980 3997 4082 4015 1.4 4099 4192 4115 4131 4207 4222 .4147 4236 4162 1.5 4251 4177 .4265 .4332 4279 4345 .4292 .4357 4306 .4370 4319 4382 4394 .4406 .4418 1.6 4429 4457 4441 .4463 .4474 .4484 4495 1.7 4554 4505 4515 4525 4564 4573 4535 4582 4545 1.8 .4591 4599 4641 .4649 .4608 .4616 4656 .4625 .4664 4633 1.9 4671 4713 4678 .4719 .4686 .4693 4726 4699 .4732 .4706 2.0 4738 4744 .4772 .4778 4750 4756 4783 4788 4761 4767 4793 4798 .4803 .4808 2.1 .4812 4821 4817 4826 4830 .4834 4838 2.2 4842 4861 4846 4864 .4850 4854 4868 4857 .4871 2.3 .4875 .4878 .4893 .4881 4896 .4884 4898 4901 4887 4890 2.4 4904 4918 4906 .4909 4920 4922 .4911 .4925 4913 4916 2.5 4927 4929 .4938 4931 4940 .4932 4934 4941 4936 4943 4945 4946 .4948 4949 2.6 4951 4953 4952 4955 4956 4957 2.7 4959 4960 4965 4961 4966 .4962 4967 4963 .4968 4964 .4969 2.8 .4970 4974 4971 4975 4976 .4972 .4973 .4977 4974 2.9 4977 4978 4981 .4979 .4982 .4979 4982 4980 4983 4981 3.0 .4984 4984 4987 .4985 .4987 4985 .4987 4986 4988 4986 4988 4989 .4989 4989 4990 .4990