Question

Let Z be a standard normal random variable. Use the calculator provided, or this table to determine the value of c. P(0.56 37 3c) = 0.2655 Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places. e X 5 ?

Answer 1

q-1)

Given data:

P(0.56<=x<=c) = 0.2655

P(0.56<=x<=c) = P(c)-P(0.56)=0.2655

P(0.56) from normal distribution table.

P(0.56)=0.7123

P(c)-P(0.56)=0.2655

P(c)-0.7123=0.2655

P(c)=0.9778

c value curresponding probability 0.9778 is 2.01

c value is 2.01

P(X < 2) = $(edit XN(0,1) 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 0.00 0.5000 0.5398 0.5793 0.6179 0.6554 0.6915 0.7257 0.7580 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 0.9192 0.9332 0.9452 0.9554 0.9641 0.9713 0.9772 0.9821 0.9861 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.9981 0.9987 0.01 0.5040 0.5438 0.5832 0.6217 0.6591 0.6950 0.7291 0.7611 0.7910 0.8186 0.8438 0.8665 0.8869 0.9049 0.9207 0.9345 0.9463 0.9564 0.9649 0.9719 0.9778 0.9826 0.9864 0.9896 0.9920 0.9940 0.9955 0.9966 0.9975 0.9982 0.9987 0.02 0.5080 0.5478 0.5871 0.6255 0.6628 0.6985 0.7324 0.7642 0.7939 0.8212 0.8461 0.8686 0.8888 0.9066 0.9222 0.9357 0.9474 0.9573 0.9656 0.9726 0.9783 0.9830 0.9868 0.9898 0.9922 0.9941 0.9956 0.9967 0.9976 0.9982 0.9987 0.03 0.04 0.05 0.5120 0.5160 0.5199 0.5517 0.5557 0.5596 0.5910 0.5948 0.5987 0.6293 0.6331 0.6368 0.6664 0.6700 0.6736 0.7019 0.7054 0.7088 0.7357 0.7389 0.7422 0.7673 0.7704 0.7734 0.7967 0.7995 0.8023 0.8238 0.8264 0.8289 0.8485 0.8508 0.8531 0.8708 0.8729 0.8749 0.8907 0.8925 0.8944 0.9082 0.9099 0.9115 0.9236 0.9251 0.9265 0.9370 0.9382 0.9394 0.9484 0.9495 0.9505 0.9582 0.9591 0.9599 0.9664 0.9671 0.9678 0.9732 0.9738 0.9744 0.9788 0.9793 0.9798 0.9834 0.9838 0.9842 0.9871 0.9875 0.9878 0.9901 0.9904 0.9906 0.9925 0.9927 0.9929 0.9943 0.9945 0.9946 0.9957 0.9959 0.9960 0.9968 0.9969 0.9970 0.9977 0.9977 0.9978 0.9983 0.9984 0.9984 0.9988 0.9988 0.9989 0.06 0.5239 0.5636 0.6026 0.6406 0.6772 0.7123 0.7454 0.7764 0.8051 0.8315 0.8554 0.8770 0.8962 0.9131 0.9279 0.9406 0.9515 0.9608 0.9686 0.9750 0.9803 0.9846 0.9881 0.9909 0.9931 0.9948 0.9961 0.9971 0.9979 0.9985 0.9989 0.07 0.08 0.09 0.5279 0.5319 0.5359 0.5675 0.5714 0.5753 0.6064 0.6103 0.6141 0.6443 0.6480 0.6517 0.6808 0.6844 0.6879 0.7157 0.7190 0.7224 0.7486 0.7517 0.7549 0.7794 0.7823 0.7852 0.8078 0.8106 0.8133 0.8340 0.8365 0.8389 0.8577 0.8599 0.8621 0.8790 0.8810 0.8830 0.8980 0.8997 0.9015 0.9147 0.9162 0.9177 0.9292 0.9306 0.9319 0.9418 0.9429 0.9441 0.9525 0.9535 0.9545 0.9616 0.9625 0.9633 0.9693 0.9699 0.9706 0.9756 0.9761 0.9767 0.9808 0.9812 0.9817 0.9850 0.9854 0.9857 0.9884 0.9887 0.9890 0.9911 0.9913 0.9916 0.9932 0.9934 0.9936 0.9949 0.9951 0.9952 0.9962 0.9963 0.9964 0.9972 0.9973 0.9974 0.9979 0.9980 0.9981 0.9985 0.9986 0.9986 0.9989 0.9990 0.9990