1:30 4 A ? .ul ul 43 Areas Under Normal... 团: The entries in the table are the probabilities that a random variable having the standard normal distribution takes on a value between 0 and z; they are...

The average time for a courier to travel from Manila to Pampanga is 200 minutes, and the standard deviation is 10 minutes. If one of these trips is selected at random, find the probability that the courier will have the following travel time. a. At least 180 minutes b. At most 205 minutes

Extracted text: 1:30 4 A ? .ul ul 43 Areas Under Normal... 团: The entries in the table are the probabilities that a random variable having the standard normal distribution takes on a value between 0 and z; they are equal to the area under the curve shaded in the figure. AREAS UNDER THE STANDARD NORMAL CURVE Second Decimal Place in z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 .0 .1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 .1 .2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141 .2 .3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 .3 .4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 .4 .5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224 .5 .6 .2257 .2291 .2324 .2357 2389 .2422 .2454 .2486 .2517 .2549 .6 .7 .2580 .2611 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 .7 .8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133 .8 .9 .3159 .3186 3212 3238 .3264 .3289 .3315 .3340 .3365 .3389 .9 3599 3621 1.0 .3749 3770 3790 .3810 3830 1.1 .3849 .3869 3888 .3907 3925 .3944 .3962 .3980 .3997 .4015 1.2 .4032 .4049 4066 .4082 .4090 .4115 .4131 .4147 .4162 .4177 1.3 .4192 4207 4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319 1.4 1.0 .3413 .3438 3461 .3485 .3508 .3531 .3554 .3577 1.1 .3643 .3665 .3686 .3708 3729 1.2 1.3 1.4 4441 1.5 .4452 .4463 .4474 4484 .4495 .4505 .4515 .4525 .4535 .4545 1.6 .4554 .4564 4573 .4582 .4591 .4599 .4608 .4616 .4625 .4633 1.7 .4641 .4649 4656 .4664 .4671 .4678 .4686 .4693 .4699 .4706 1.8 .4738 .4744 4750 .4756 4761 .4767 1.9 1.5 .4332 .4345 4357 4370 .4382 .4394 .4406 .4418 .4429 1.6 1.7 1.8 1.9 .4713 .4719 .4726 4732 .4817 2.0 .4854 .4857 2.1 .4887 .4890 2.2 .4893 .4896 4898 .4901 .4904 .4906 .4909 .4991 .4913 .4916 2.3 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 4934 .4936 2.4 2.0 .4772 .4778 .4783 4788 .4793 .4798 4803 .4808 .4812 2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 2.2 .4861 .4864 4868 .4871 .4875 .4878 .4881 .4884 2.3 2.4 2.5 .4938 .4940 .4941 .4943 .4945 .4946 .4948 4949 .4951 .4952 2.5 .4953 .4955 .4956 .4957 4959 .4960 .4961 .4962 .4963 .4964 2.6 .4965 .4966 4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974 2.7 .4981 2.8 .4986 .4986 2.9 2.6 2.7 2.8 .4974 .4975 4976 4977 .4977 4978 4979 4979 .4980 2.9 .4981 .4982 .4982 .4983 .4984 .4984 .4985 .4985 .4990 3.0 .4990 .4991 .4991 .4991 .4992 .4992 .4992 .4992 .4993 .4993 3.1 .4994 .4994 4994 .4995 4995 .4995 3.2 .4997 3.3 .4998 3.4 3.0 .4987 .4987 4987 4988 .4988 .4989 4989 .4989 .4990 3.1 3.2 .4993 .4993 4994 .4994 3.3 .4995 .4995 .4995 4996 .4996 .4996 4996 .4996 .4996 3.4 .4997 .4997 .4997 4997 .4997 .4997 4997 4997 .4998 3.5 .4998 .4998 4999 .4999 .4999 .4999 .4999 .4999 .4999 .4999 3.6 .4999 3.7 .4999 3.8 3.9 3.5 .4998 .4998 .4998 .4998 .4998 .4998 .4998 4998 4998 3.6 3.7 .4999 .4999 4999 4999 .4999 .4999 4999 .4999 3.8 .4999 .4999 4999 .4999 .4999 .4999 .4999 .4999 .4999 3.9 .5000 For z 2 3.90, the areas are .5000 to four decimal places.