Help with questions a & b.

A population has a mean of 200 and a standard deviation of 80. Suppose a sample of size 100 is selected and X is used to estimate u. Use z-table. a. What is the probability that the sample mean will be within +/- 7 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) b. What is the probability that the sample mean will be within +/- 17 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) .00 01 02 03 04 05 06 07 1.08 09 0 1 2 3 4 15000 5398 5793 6179 6554 15040 5438 15832 6217 6591 15080 5478 5871 6255 6628 5120 5517 5910 6293 .6664 5160 5557 5948 6331 .6700 15199 3596 5987 6368 6736 5239 5636 6026 6406 1.6772 15279 1.5675 .6064 6443 6808 5319 5714 6103 6480 6844 5359 5753 6141 6517 6879 5 6 7 8 9 6915 7257 17580 17881 8159 6950 7291 1.7611 7910 18186 6985 7324 1.7642 17939 1.8212 17019 17357 1.7673 17967 18238 17054 17389 17704 17995 8264 17088 17422 17734 18023 18289 7123 7454 7764 8051 18315 17157 17486 7794 18078 18340 17190 7517 1.7823 18106 8365 17224 7549 1.7852 18133 18389 10 11 12 13 1.4 18413 18643 18849 19032 19192 18438 18665 18869 19049 19207 18461 8686 18888 9066 9222 18485 8708 18907 19082 19236 18508 18729 18925 19099 19251 18531 18749 1894 9115 19265 18554 18770 18962 9131 9279 18577 18790 18980 9147 9292 18599 8810 18997 9162 19306 18621 18830 19015 9177 19319 15 16 17 1.8 1.9 19332 19452 19554 19641 19713 19345 19463 9564 19649 19719 19357 9474 19573 9656 19726 19370 19484 9582 19664 9732 19382 9495 9591 9671 19738 19394 19505 9599 19678 9744 9406 19515 9608 19686 19750 19418 9525 19616 19693 19756 19429 19535 19625 19699 9761 19441 19545 19633 19706 19767 19817 19857 20 21 22 23 19772 19821 19861 19893 19918 19778 19826 19864 19896 19920 9783 9830 19868 19898 9922 9788 19834 19871 19901 19925 19793 19838 19875 19904 9927 19798 19842 19878 19906 19929 19803 19846 19881 9909 19931 19808 19850 19884 19911 19932 19812 19854 19887 19913 19934 19890 19916 2.4 19936 25 2.6 27 2.8 29 19938 19953 19965 19974 19981 19940 19955 19966 19975 19982 19941 19956 19967 19976 9982 19943 19957 19968 19977 19983 19945 19959 19969 19977 9984 19946 19960 9970 19978 9984 19948 19961 19971 19979 19985 19949 19962 19972 19979 19985 19951 19963 19973 19980 9086 19952 19964 19974 19981 19986 3.0 19987 19987 19987 19988 19988 19989 9989 19989 19990 19990