Bus trip times between 2 stops on a certain route are normally distributed with a mean of 5.7 minutes and a standard deviation of 1.5 minutes. What is the trip time that constitutes the 35th percentile?
Express your answer correct to 1 decimal place and add the units (minutes). Leave one space between the number and the units.
Standard Normal Probabilities Table entry Table entry for z is the area under the standard normal curve to the left of z. .00 .01 .02 .03 .04 05 .06 .07 .08 .09 -3.4 0003 0003 .0003 0003 .0003 0003 0003 0003 0003 0002 -3.3 0005 .0005 .0005 0004 .0004 0004 0004 0004 0004 0003 -3.2 .0007 .0007 .0006 0006 .0006 0006 0006 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 -2.8 0026 0025 .0024 0023 0023 0022 0021 .0021 .0020 .0019 -2.7 0035 0034 .0033 0032 0031 0030 0029 0028 0027 0026 -2.6 .0047 .0045 0044 0043 0041 0040 0039 .0038 .0037 0036 -2.5 .0062 .0060 .0059 0057 .0055 0054 0052 .0051 .0049 .0048 -2.4 .0082 .0080 .0078 0075 .0073 0071 0069 0068 0066 0064 -2.3 0107 .0104 0102 0099 0096 0094 0091 .0089 .0087 .0084 -2.2 .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 0217 0212 0207 0202 0197 0192 0188 .0183 -1.9 .0287 0281 0274 0268 0262 0256 0250 0244 .0239 0233 -1.8 0359 0351 0344 0336 .0329 0322 0314 0307 .0301 .0294 -1.7 .0446 0436 0427 0418 0409 0401 0392 0384 0375 0367 -1.6 0548 .0537 .0526 0516 .0505 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 0694 0681 -1.3 .0968 0951 0934 0918 0901 0885 0869 0853 0838 .0823 -1.2 .1151 .1131 .1112 1093 .1075 1056 1038 .1020 1003 0985 -1.1 1357 1335 1314 1292 1271 1251 1230 .1210 1190 1170 -1.0 .1587 .1562 .1539 .1515 .1492 .1469 .1446 .1423 .1401 1379 -0.9 1841 .1814 .1788 1762 1736 1711 .1685 .1660 1635 1611 -0.8 2119 .2090 .2061 .2033 .2005 1977 .1949 .1922 .1894 1867 -0.7 .2420 .2389 .2358 2327 .2296 2266 2236 .2206 .2177 .2148 -0.6 .2743 2709 .2676 2643 .2611 2578 .2546 .2514 .2483 .2451 -0.5 .3085 .3050 3015 2981 2946 2912 2877 .2843 .2810 .2776 -0.4 .3446 .3409 .3372 .3336 .3300 .3264 .3228 .3192 .3156 .3121 -0.3 .3821 .3783 .3745 .3707 .3669 .3632 .3594 .3557 3520 .3483 -0.2 .4207 .4168 .4129 4090 4052 4013 .3974 .3936 3897 .3859 -0.1 4602 4562 4522 4483 4443 4404 4364 .4325 4286 4247 -0.0 .5000 .4960 .4920 .4880 .4840 .4801 .4761 .4721 .4681 .4641Standard Normal Probabilities Table entry Table entry for z is the area under the standard normal curve to the left of z. .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .5000 .5040 .5080 .5120 5160 5199 .5239 .5279 .5319 5359 0.1 .5398 5438 5478 .5517 5557 5596 .5636 5675 5714 5753 0.2 5793 5832 5871 .5910 5948 5987 .6026 6064 .6103 6141 0.3 6179 6217 6255 6293 6331 6368 .6406 6443 .6480 6517 0.4 6554 6591 6628 6664 6700 6736 6772 6808 .6844 6879 0.5 6915 6950 6985 7019 7054 7088 .7123 .7157 .7190 7224 0.6 .7257 7291 7324 7357 7389 .7422 7454 .7486 .7517 .7549 0.7 7580 .7611 7642 7673 .7704 7734 .7764 7794 .7823 .7852 0.8 7881 .7910 .7939 7967 .7995 8023 .8051 8078 8106 8133 0.9 .8159 8186 .8212 8238 8264 8289 8315 8340 8365 8389 1.0 .8413 .8438 8461 8485 8508 8531 .8554 8577 8599 8621 1.1 .8643 8665 .8686 8708 8729 3749 8770 8790 .8810 8830 1.2 .8849 .8869 .8888 8907 8925 8944 8962 8980 8997 9015 1.3 .9032 9049 .9066 .9082 .909 9115 9131 9147 9162 9177 1.4 9192 9207 9222 9236 9251 9265 .9279 9292 .9306 9319 1.5 9332 9345 9357 9370 9382 9394 .9406 9418 .9429 9441 1.6 9452 9463 9474 9484 9495 9505 9515 9525 9535 9545 1.7 9554 9564 9573 9582 .9591 9599 9608 9616 9625 9633 1.8 .9641 .9649 .9656 9664 .9671 9678 .9686 9693 9699 9706 1.9 .9713 .9719 .9726 .9732 9738 .9744 9750 9756 9761 .9767 2.0 .9772 .9778 9783 9788 9793 9798 .9803 9808 .9812 .9817 2.1 .9821 9826 .9830 9834 9838 9842 .9846 9850 9854 9857 2.2 .9861 9864 .9868 9871 9875 9878 .9881 9884 9887 9890 2.3 .9893 9896 9898 9901 9904 9906 9909 991 9913 9916 2.4 .9918 9920 9922 9925 9927 9929 .9931 9932 9934 9936 2.5 9938 9940 9941 .9943 9945 9946 .9948 9949 .9951 9952 2.6 9953 9955 9956 9957 9959 9960 .9961 9962 9963 9964 2.7 9965 9966 9967 9968 9969 9970 .9971 9972 9973 9974 2.8 9974 9975 9976 9977 9977 9978 9979 9979 9980 9981 2.9 9981 9982 9982 9983 9984 9984 .9985 9985 9986 9986 3.0 9987 9987 9987 9988 .9988 9989 9989 9989 9990 9990 3.1 9990 999 999 9991 9992 9992 9992 9992 9993 9993 3.2 .9993 9993 9994 9994 .9994 9994 9994 9995 9995 9995 3.3 .9995 9995 .9995 9996 9996 9996 .9996 9996 .9996 9997 3.4 .9997 .9997 .9997 .9997 .9997 .9997 .9997 9997 .9997 .9998
