Page 16 of 25 Previous Next Find z, for the following areas under the standard normal curve. 81% = 0.81 Table for required value of z Table for areas under the standard normal curve X 2 2 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 1.0279 .0319 .0359 1.3 .4032 .4049 .4066 .4082 .4099 .4115 4131 -4147 .4162 .4177Page 17 of 25 Previous Next Compute z for the percentile given: P25 (25 percentile) Table for required value of : 0.25 P 25 Table for areas under the standard normal curve X .01 02 03 04 05 .06 07 08 09 0.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .03 19 .0359 0.1 .0398 .0438 1.0478 .0517 .0557 .0596 .0636 .0675 .0714 0753 0.2 .0793 .0832 .0871 .0910 -0948 .0987 -1026 -1064 -1103 .1141 0.6 .2257 .2291 .2324 .2357 2389 .2422 -2454 -2486 .2517 1.2549 1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 3980 3997 4015 1.6 .4452 .4463 -4474 .4484 -4495 .4505 -4515 -4525 .4535 .4545For a non-standard normal distribution with u = 276 and o = 56, find the probability that X assumes values less than 203. (Round answer up to 4 decimal places.) Table for required value of : Probability Done Table for Meas under the standard normal curve X 2 Z .00 .01 .02 .03 .04 .05 .06 .07 .08 09 0.7 .2580 .2611 .2642 .2673 .2704 .2734 .2764 .2794 .2823 .2852 0.8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 3599 .3621 1.3 .4032 .4049 .4066 .4082 .4099 .4115 -4131 .4147 4162 .4177 1.4 .4192 .4207 .4222 -4236 .4251 .4265 .4279 4292 4306 .4319Page 19 of 25 Previous Next Given N(94, 16), find the value of X that has 63% of the area bounded by the normal curve to its left. (Write the answer up to 2 decimal places) Table for required value of z Table for areas under the Standard Normal Curve X .00 .02 .03 .04 .05 .06 .07 .08 109 0.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359 0.2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141 0.3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517 0.9 .3159 .3186 .3212 .3238 .3264 .3289 .3315 .3340 .3365 .3389 1.0 .3413 .3438 .3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621Page 20 of 25 Previous Next Given N(80, 20), find the value of X that has 80% of the area bounded by the normal curve to its left. (Round the answer upto 2 decimal places) Table for required value of : Table for areas urider the standard normal curve X Z .00 01 .02 03 .04 .05 06 .07 08 09 0.0 .0000 .0040 .0080 .0120 -0160 .0199 9.0239 .0279 .0319 .0359 0.8 .2881 .2910 .2939 .2967 .2995 .3023 .3051 .3078 .3106 .3133 0.9 .3159 .3186 .3212 .3238 .3264 .3289 .3315 .3340 .3365 .3389 1.0 .3413 .3438 -3461 .3485 .3508 .3531 .3554 .3577 .3599 .3621 1.1 .3643 .3665 3686 .3708 .3729 .3749 .3770 .3790 .3810 .3830 1.2 .3849 .3869 .3888 .3907 .3925 .3944 .3962 .3980 .3997 .4015 1.3 .4032 -4049 -4066 -4082 .4099 -4115 -4131 -4147 .4162 .4177