Thank you . please refer to the example

ll. Assume X~N[9, 4), find the area of the following: 6. Between 10 and 13 ,/ \\ ./ \\a 7. Between 3 and 8 ,/ \\k ,/ \\h 8. Greater than 13 ,/\\x ,/ \\x 9. The random variable X has a normal distribution with mean 5.2 and variance 9. Find the value of x, call it x0, such that P(x S x0) = 0.8770 10. The random variable x has a normal distribution with mean 5 and standard deviation 2.3. Find the value of x, call it x0, such that PU:a S x S 7) = 0.6858 DEPARTMENT OF STATISTICS X~N(u, 62) Example 13.b X~N(7, 4) Z = x - 1 Xo = M + zo b) P(x > Xo) = 0.1413 Find the corresponding z score with an area 0.1413 WHEN THE AREA IS 0.3587, FIND THE 0.3587 CORRESPONDING Z-SCORE. (see slide 49) 0.1413 Z= 1.07 M=0 z=? Find X. = u + zo = 7 + (1.07x2) 0.5 XO = 9.14 GGMFRANCISCO NORMAL DISTRIBUTION | 48 DEPARTMENT OF STATISTICS Example 13.b TABLE A-2 Standard Normal (z) Distribution .00 .01 02 .03 .04 .OS 06 .07 .08 .0000 .0040 .0080 .0120 .0160 .0199 .0239 0279 .0319 .0359 0.0 0.1 .0398 .0438 .0478 0517 .0557 .0596 0636 .0714 0753 0.2 .0793 .0832 .0871 0910 .0948 .0987 .1026 .1103 1141 .1480 1517 0.3 .1179 .1217 1255 1293 .1331 1368 1406 0.4 .1554 1591 1628 1664 .1700 .1736 1772 .1844 1879 2224 0.5 .1915 .1950 1985 2019 .2054 2088 .2123 .2190 0.6 .2257 2291 2324 2357 2389 2422 .2454 2517 2549 0.7 .2580 .2611 2642 .2673 .2704 2734 .2764 .2823 2852 0.8 .2881 2910 2939 2967 2995 3023 3051 3106 3133 0.9 3159 .3186 3212 3238 3264 3289 3315 .3365 3389 1.0 3577 3599 3621 3643 3729 -3770 3790 3810 3830 3888 3907 3925 3944 .3980 .3997 4015 1.2 3849 3869 3962 1.3 4032 4049 4066 4082 4099 4115 4131 4147 4162 4177 4192 4207 4222 4236 4251 4265 4279 4292 4306 4319 4332 .4345 4357 4370 4382 4394 4406 4418 4429 4441 1.5 1.6 4452 4463 4474 4484 4495 4505 4515 4525 .4535 4545 1.7 4554 4564 4573 4582 4591 .4599 4608 4616 4625 4633 1.8 4641 4649 4656 4664 4671 4678 4686 4693 .4699 4706 1.9 4713 4719 4726 4732 4738 4744 4750 4756 .4761 4767 GGMFRANCISCO NORMAL DISTRIBUTION | 49 DEPARTMENT OF STATISTICS X~N(u, 62) Example 13.c X~N(7, 4) Z = TH Xo = u + zo C) P(X.