An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 139 lb and a standard deviation of 28.4 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution a. If a pilot is randomly selected, find the probability that his weight is between 130 lb and 191 lb. The probability is approximately (Round to four decimal places as needed.) A 12 N BO C D E F G H K 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0 0.5 0.504 0.508 0.512 0.516 0.5199 0.5239 0.5279 0.5319 0.5359 3 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 4 0.2 0.5793 0.5832 0.5871 0.591 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141 5 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 6 0.4 0.6554 0.6591 0.6628 0.6664 7 0.5 0.6915 0.695 0.6985 0.7019 0.7054 0.6368 0.67 0.6736 0.7088 0.6406 0.6443 0.648 0.6517 0.6772 0.6808 0.6844 0.6879 0.7123 0.7157 0.719 0.7224 8 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 9 0.7 0.758 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 10 0.8 0.7881 0.791 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 11 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.834 0.8365 0.8389 12 1 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 13 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.877 0.879 0.881 0.883 14 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.898 0.8997 0.9015 15 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 16 1.4 0.9192 0.9207 0.9222 0.9236 0.9251 0.9265 17 1.5 0.9332 0.9345 0.9357 0.937 0.9382 0.9394 18 1.6 0.9452 0.9463 0.9474 0.9484 0.9495 0.9505 19 1.7 0.9554 0.9564 0.9573 0.9582 0.9591 0.9599 20 1.8 0.9641 0.9649 0.9656 0.9664 0.9671 0.9678 0.9686 0.9608 0.9616 0.9693 0.9279 0.9292 0.9306 0.9319 0.9406 0.9418 0.9429 0.9441 0.9515 0.9525 0.9535 0.9545 0.9625 0.9633 0.9706 0.9699 21 1.9 0.9713 0.9719 0.9726 0.9732 0.9738 0.9744 22 2 0.9772 0.9778 0.9783 0.9788 0.9793 0.9798 0.975 0.9756 0.9803 0.9808 0.9761 0.9767 0.9812 0.9817 23 2.1 0.9821 0.9826 0.983 0.9834 0.9838 0.9842 0.9846 0.985 0.9854 0.9857 24 2.2 0.9861 0.9864 0.9868 0.9871 0.9875 0.9878 0.9881 0.9884 0.9887 0.989 25 2.3 0.9893 0.9896 0.9898 0.9901 0.9904 26 2.4 0.9918 0.992 0.9922 0.9925 0.9927 27 2.5 0.9938 0.994 0.9941 0.9943 0.9945 0.9946 0.9906 0.9909 0.9929 0.9931 0.9948 0.9911 0.9913 0.9916 0.9932 0.9934 0.9936 0.9949 0.9951 0.9952 28 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.996 0.9961 0.9962 0.9963 0.9964 29 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.997 0.9971 0.9972 0.9973 0.9974 30 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.998 0.9981 31 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 32 33 34 35 2 3 4 5 3 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9989 0.999 0.999 3.1 0.999 0.9991 0.9991 0.9991 0.9992 0.9992 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.3 0.9995 0.9995 0.9995 0.9996 0.9996 0.9996 0.9996 0.9996 0.9996 0.9997 36 3.4 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 37 3.5 and up 0.9999