Question: please include standard normal curve and show work The following two questions require you to calculate x-values given probabilities. (4 points each) 10. What is

please include standard normal curve and show work

The following two questions require you to calculate x-values given probabilities. (4 points each) 10. What is the duration of a service time for which 95% of all other service durations are longer? [Hint: P(x 2 ?) = .95) 11. What is the service duration for which 90% of all other service durations are shorter? - .00 .02 .03 .04 .01 .65 .06 .07 .08 .09 N .0 .1 2 .5000 .5398 .5793 .6179 .6554 -5040 .5438 -5832 .6217 .6591 .5080 .5478 .5871 .6255 .6628 .5160 .5557 .5948 .6331 .6700 .5199 .5596 .5987 .6368 .6736 5239 .5636 ,6026 .6406 .6772 5279 .5675 .6064 .6443 6808 --- .5319 -5714 .6103 .6480 .6844 .7190 .7517 .7823 .8106 .8365 .5359 .5753 .6141 .6517 .6879 .7224 .7549 .7852 .8133 .8389 .5 . .7 .8 9 .6915 .7257 .7580 .7881 8159 .7088 .7422 .7734 .8023 .8289 .7123 .7454 .7764 .8051 .8315 .6985 .7324 .7642 .7939 .8212 .8461 .8686 .8888 .9066 9222 .5120 .5517 .5910 .6293 .6664 -7019 .7357 .7673 .7967 .8238 .8485 .8708 .8907 .9082 .9235 .9370 .9484 9582 .9664 9732 .6950 .7291 .7611 .7910 .8186 .8438 .8665 .8869 .9049 .9207 9345 9463 9564 .9649 .9719 .7157 .7486 .7794 .8078 .8340 8577 .8790 .8980 .9147 .9292 1.0 1.1 1.2 1.3 1.4 .8413 .8643 .8849 9032 9192 8554 -8770 .8962 .9131 9279 .8599 .8810 .8997 .9162 .9306 .8621 .8830 .9015 9177 .9319 .7054 .7389 .7703 7995 .8264 .8508 8729 8925 .9099 .9251 .9382 .9495 9591 .9671 .9738 9793 .9838 9875 .9904 .9927 .8531 .8749 .8944 9115 .9265 .9394 9505 9599 .9678 .9744 1.5 1.6 1.7 1.8 1.9 9357 9474 9573 .9556 9726 9406 .9515 9608 .9686 .9750 .9418 .9525 .9616 .9693 .9756 .9441 9545 .9633 9706 9767 9332 .9452 9554 9641 .9713 9772 9821 9861 .9893 .9918 .9938 .9953 9965 .9974 9981 .9429 9535 9625 9699 9761 9812 9854 .9887 9913 9934 20 2.1 .9778 .9826 9864 9896 9920 9783 9830 9868 9898 9922 9788 .9834 9871 .9901 .9925 .9798 9842 9878 9906 9929 .9803 9846 9881 9909 9931 9817 9857 .9890 .9916 9936 2.4 2 2.6 2.7 2.8 29 9940 9955 .9966 .9975 9982 .9987 .9991 9993 9941 9956 9967 9976 .9982 9987 9991 9994 .9943 .9957 9968 .9977 19983 9988 .9991 .9994 9945 .9959 9969 9977 .9984 9946 9960 9970 9978 9984 9948 9961 9971 9979 9985 .9808 9850 .9884 .9911 9932 .9949 .9962 9972 9979 9985 9989 9992 9995 .9951 9963 9973 9980 .9986 9952 9964 9974 9981 9986 3.0 3.1 32 9987 9990 9993 9988 .9991 9994 9989 9992 9994 9989 9992 9994 9990 9993 9995 9990 9993 9995

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