Question

how to solve B?

6.2.1 Question Help Given a standardized normal distribution (with a mean of O and a standard deviation of 1), complete parts (a) through (d) EI! Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. G. WE WC PM WIB The probability that is less than 1.53 is 0.9370 (Round to four decimal places as needed) b. What is the probability that Z is greater than 1.84? The probability that Z is greater than 1.84 is (Round to four decimal places as needed) Enter your answer in the answer box and then click Check Answer non

Answer 1

a. We know that,

$P(Z<a)=\Phi(a) \ and \ \Phi(-a)=1-\Phi(a)$

We have to find probability that Z is less than 1.53

P(Z< 1.53) = Φ(1.53) = 0.9370

b. We have to find probability that Z is greater than 1.84

$P(Z>1.84)=1-P(Z\le 1.84)=1-\Phi(1.84)=0.0329$

z table :

Z 0.0 0.1 02 03 0.4 05 0.6 0.7 0.8 0.9 1.0 1.1 12 13 14 15 1.6 17 18 1.9 2.0 21 22 23 2.4 25 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 0.00 0.5000 05398 0.5793 0.6179 0.6554 0.6915 0.7257 0.7580 0.7881 0.8159 0.8413 0.8643 0.8849 0.9032 09192 09332 09452 09554 0.9641 0.9713 0.9772 0.9821 0.986] 0.9893 0.9918 0.9938 0.9953 0.9965 0.9974 0.998] 0.9987 0.9990 0.9993 0.9995 0.9997 0.01 0.5040 0.5438 0.5832 0.6217 | 0.6591 10.6950 10.7291 0.7611 0.7910 0.8186 0.8438 0.8665 10.8869 | 0.9049 0.9207 0.9345 0.9463 09564 0.9649 0.9719 0.9778 10.9826 0.9864 0.9896 0.9920 0.9940 0.9955 0.9966 | 0.9975 10.9982 | 0.9987 0.9991 0.9993 0.9995 0.9997 0.02 0.03 0.5080 0.5120 0.5478 0.5517 0.5871 0.5910 0.6255 0.6293 0.6628 0.6664 0.6985 0.7019 0.7324 0.7357 07642 0.7673 0.7939 0.7967 0.8212 0.8238 0.8461 0.8485 0.8686 0.8708 0.8888 0.8907 0.9066 0.9082 0.9222 0.9236 0.9357 0.9370 0.9474 0.9484 0.9573 0.9582 0.9656 0.9664 0.9726 0.9732 0.9783 0.9788 0.9830 0.9834 0.9868 0.9871 0.9898 0.9901 0.9922 0.9925 0.9941 0.943 0.9956 0.9957 0.9967 0.9968 0.9976 0.9977 0.9982 0.9983 0.9987 0.9988 0.9991 0.9991 0.9994 0.9994 0.9995 0.9996 0.9997 0.9997 0.04 05160 0.5557 05948 0.6.33] 0.6700 0.7054 0.7389 0.7704 0.7995 0.8264 0.8508 0.8729 0.8925 0.9099 0.9251 0.9382 09495 0.9591 0.9671 0.9738 0.9793 0.9838 0.9875 0.9904 0.9927 0.9945 0.9959 0.9969 0.9977 0.9984 0.9988 0.9992 0.9994 0.9996 0.9997 0.05 05199 0.5596 0.5987 0.6368 0.6736 0.7088 0.7422 0.7734 0.8023 0.8289 0.8531 0.8749 0.8944 0.9115 0.9265 0.9394 0.9505 0.9599 0.9678 0.9744 10.9798 0.9842 0.9878 0.9906 0.9929 0.9946 0.9960 0.9970 0.9978 0.9984 0.9989 0.9992 0.9994 0.9906 0.9997 0.06 0.5239 0.5636 0.6026 0.6406 10.6772 07123 0.7454 0.7764 0.8051 0.8315 0.8554 0.8770 0.8962 10.9131 10.9279 0.9406 0.9515 0.9608 0.9686 0.9750 0.9803 0.9846 10.9881 10.9909 0.9931 0.9948 0.9961 0.9971 10.9979 0.9985 10.9989 0.9992 0.9994 0.9996 0.9997 0.07 0.5279 0.5675 0.6064 0.6443 0.6808 07157 0.7486 0.7794 0.8078 0.8340 0.8577 0.8790 0.8980 0.9147 0.9292 0.9418 0.9525 0.616 0.9693 0.9756 0.9808 0.9850 0.9884 0.9911 0.9932 0.9949 0.9962 0.9972 0.9979 0.9985 0.9989 0.9992 0.9995 0.9996 0.9997 008 05319 0.5714 0.6103 0.6480 0.6844 07190 0.7517 0.7823 0.8106 0.8365 0.8599 0.8810 0.8997 09162 0.9306 09429 09535 0.9625 0.9699 0.9761 0.9812 09854 0.9887 0.9913 0.9934 0.9951 0.9963 0.9973 0.9980 0.9986 0.9990 0.9993 0.9995 0.9996 0.9997 0.00 05359 0.5753 0.6141 0.6517 0.6879 0.7224 0.7549 0.7852 0.8133 0.8389 0.8621 0.88.30 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9706 0.9767 0.9817 0.9857 0.9890 0.99 16 0.9936 0.9952 0.9964 0.9974 0.9981 0.9986 0.9990 0.9993 0.9995 0.9997 0.9998