Question: Suppose x is a normally distributed random variable with 11 = 14 and o = 2. Find each of the following probabilities. a. P(x218) b.

Suppose x is a normally distributed random variable with 11 = 14 and o = 2. Find each of the following probabilities. a. P(x218) b. P(xs'|2.5) c. P(15.54sxs18.58) d.P(9.1esxs16.7s) a Click here to view a table of areas under the standardized normal curve. Tab|e of Norma| Curve Areas A l 1 . a. P(x218)= (Round to three decimal places as needed) 1 b. P(xs12.5)= (Round to three decimal places as needed.) 0 : c. P(15.54sxs18.58)= (Round to three decimal places as needed.) 1 z 00 .01 02 .03 .04 .05 .06 .07 .08 .09 d. P(9.16 S x 5 16.78) = (Round to three decimal places as needed.) _0 .0000 .0040 .0120 .0160 9199 1mg 11379 .0319 1,359 .1 .03911 .0430 .0517 .0557 .0596 .0636 .0675 .0714 .0753 .2 .0793 .0113: .0910 .0941; .0907 .1026 .1064 .1103 .1141 .3 .1179 .1217 .1293 .1331 .1368 .1406 .1443 .14110 .1517 .4 .1554 .1591 .1664 .1700 .1736 .1772 .111011 .1844 .11179 .5 .1915 .1950 2019 .2054 .2088 .2123 .2157 .2190 .2224 .6 2257 .2291 .2357 .2389 .2422 .2454 .2486 .1517 .349 .7 380 .261 1 2673 .2704 .2734 .2764 .2794 .2823 .2852 .8 .2881 .2910 .2967 .2995 .3023 .3051 .3078 .3106 .3133 .9 3159 .3186 338 .3266 .3289 .3315 .3340 .3365 .3389 1 1.0 3413 .3431; 34115 .3531 .3554 .3577 .3599 .3621 1 1.1 31643 .3665 37118 .3749 .3770 .3790 .3810 .3830 1.2 31149 .31169 3907 . .3944 .3962 .3900 .3997 .4015 1 1.3 .4032 .4049 .401L2 .4099 .4115 .4131 .4147 .4162 .4177 1 1.4 .4192 .4207 .4236 .4251 .4265 .4279 .4292 .4306 .4319 1 1.5 .4332 .4345 .4370 .4312 .4394 .4406 .4411; .4429 .4441 1 1.6 .4452 .4463 .4484 .4495 .4505 .4515 .4525 .4535 .4545 1 1.7 .4554 .4564 .451L2 .4591 .4599 .4608 .4616 .4625 .4633 1 1.11 .4641 .4649 .4661 .4671 .4678 .4686 .4693 .4699 .4706 1 1 1.9 .4713 .4719 .4732 .4730 .4744 .4750 .4756 .4761 .4767 l 1 2.0 .4772 .47711 471114 .4793 .4793 .4003 411011 .4812 .4817 1

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