Question

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Click to view page 1 of the table. Click to view page 2 of the table. Z=0.23 The area of the shaded region is - (Round to four decimal places as needed.)

Answer 1

Answer : 0.5910

Expalantion:

3 - 0 . 23 ا

From Left Tail Z Table, for z = 0.23

0.9 1.3 0.00 0.01 | 0.02 .6 0.04 0.05 | 0.06 | 0.07 | 0.08 0.09 0.0 10.500m 0.5040 10.500 10.5120 105160 10.519 10.52.39 10.5279 10.5319 10.5359 0.1 10.5398 | 0543 0.547810551710.555710.5596 | 0.5636105675 0.5714 10.5753 [042_ | 0.5793 | 0.5832 0.581 0.5910 | 05948 | 0.5937 10.6026 10.6064 | 0.613 0.6141 03 10.617906217 J0625 TUBE85 0.6331 10.6368 10.6406 10.6443 106480 10617 10.6554 | 0.91 10.6628 10.6664 10.670 | 06736 10.677210.680 10.6844 10.6879, 0.5 0.6915 | 06950 | 0.6965 107019 107054 107068 107123 107157 10/10107224 0.6 10.72570.7291 | 0.7324 | 0.7357 | 0. 78 0.7422 | 0.7454 0.7486 | 0.7517 10.7549 0.7 10.7580 10.7611 10.754210767310.7704 0.7734 107764 107794 10.7823 a73521 0.5 10.7861 10.7910 0.7939 | 0.7967 10.7995 10.8023 10.8051 | 0.3078 | 0.8106 0.8133, 10.159 0.816 10.8212 0.829 10.8264 | 0.8289 | 0.8315 | 0.8340 | 0.836108389 1.0 10,8413 | 0.8438 10.8461 | 0.845 10.8508 10.8531 10.8554 10.857 10.859 10.86211 1.1 | 0.8643 | 08665 | 0.8660.78 10.8729 | 0.8749 | 0.80 | 08790 | 0.810 0.8830 12 | 0.6349 | 0.8869 10.8888 | 0.8907 10.8925 10.8944 10.8962 | 0.8990 | 0.8997 10.9015 | 0.9032 10.9049 10.9066 10.9082 10.099 10.9115|09131109147 109162 10.917 1.4 | 0.9192 10.9207 10.9222 0.9236 | 0.9251 | 09265 0.9279 | 09292 | 0.9306 09319 10.9332 | 09345 | 0.9357 | 0.9370 | 0.9382 0.9394 10.9406 10.9418 10.94910.9441 1.6 1 0.942 10.9463 10.9474 | 09484 10.9495 | 0.9505 0.9515|09525 10.9535 10.9545: 17 10.9554 | 0.9564 10.9573|09582 10.9591 10.9599 10.969 109616 10.9%255 10.9633 1.8 10.964110.9649 10.9656 10.9664 10.957110.9678 10.96BET09693 10.9699 10.97%, 1.9 10.9713109719 10.9726 10.9732 10.97.8 10744 10.970 | 0.9756 10.9761 | 0.9767 2.0 | 0.9772 | 0.9778 10.9763 10.97% |09793 10.9798 10.9903 0.9806 10.961210.9617 2.1 10.9821 | 0.9626 | 0.9830 | 09834 0.9838 0.9842 | 0.9846 | 0.9850 | 0.9854 10.9857」 2.2 | 0.9861 | 09664 10.9368 09671 0.985 0.9378 | 0.98 | | 0.9834 | 0.9887 10.9890 10.9993 | 09896 0.989 09901 | 0.9904 | 0.9906 | 0.9909 | 09911|09913 0.9916 2.4 | 0.9918 19920 10.9922 0.9925 10.9927 | 09929 | 0.9931 | 0.9932 | 0.9934 109936 2.5 10.998 0.9940 10.9941 | 19943 | 0.9945 | 0.9946 | 0.9948 | 19949 | 0.9951 10.9952 | 2.6 10.9953 | 0.9955|09956 10.997 10.9959 | 0.9960 | 0.9961 | 0.9962 0.9963 0.9964 2.7 10.9965 | 0.9966 10.9967 | 0.9966 10.9969 0.9970 | 0.997110.997210.9973 0.9974, 2.8 10.9974 0.9975 0.9976 0.997 10.9977 10.997S | 0.9979 | 0.9979 0.990 0.9981 2.9 | 「0.9981 0.9982 10.9962 0.9983 10.9984 0.9984 0.9985 0.998 10.998 10.9986 1.5 2.3

=> Area of the shaded region = 0.5910