I need help solving Problem 35 and Problem 37. I want to know how to solve them. I included the "Normal Curve Area" table.

816 APPENDIX B . Tables Table II Normal Curve Areas 060 .00 .01 .02 .03 .04 .05 .06 07 .08 09 .0000 .0040 .0080 .0120 0160 0199 0239 .0279 0319 .0398 .0438 0359 .0478 .0517 0557 0596 .0675 0793 0636 0832 .0714 0871 0753 .0910 0948 .0987 .1179 .1026 .1064 .1217 1103 .1255 1141 .1293 .1331 .1554 .1368 .1406 .1443 .1480 .1591 .1517 .1628 .1664 .1700 1736 .1808 .1915 1772 .1844 .1950 1879 .1985 .2019 2054 2088 .2123 .2157 .2190 .2224 .2257 .2291 .2324 .235 .2389 242 .2454 .2580 .2611 .2486 .2517 2549 .2642 .2673 .2704 2734 .2794 2881 .2910 .2764 .2823 2852 .2939 .2967 .2995 .3159 .3023 .3051 .3078 .3186 .3106 3212 .3133 .3238 .3264 1.0 .3413 .3289 .3315 3340 .3365 3438 3389 3461 .3485 .3508 .3531 .3554 .3577 3599 3621 1.1 .3643 .3665 3686 3708 1.2 .3729 .3749 3849 3770 3869 3790 3810 3830 .3888 .3907 .3925 1.3 3944 .3980 4032 .3962 .3997 .4015 .4049 4066 .4082 1.4 409 4192 4115 .4147 4207 .413 4162 4177 4222 4236 4251 1.5 .4265 4279 .4292 4332 4306 4319 .4345 4357 .4370 4382 4394 .4406 .4418 4429 .4441 1.6 .4452 .4463 1474 4484 4495 1.7 .4505 .4554 4515 .4525 4535 .4564 1545 4573 .4582 4591 4599 4608 1.8 .4641 .4616 .4625 .4649 4633 4656 1664 4671 4678 4686 .4693 1.9 .4713 .4699 4719 4726 4706 4732 4738 4744 4750 2.0 .4772 4756 .4761 4778 4767 4783 4788 4793 4798 4803 4808 .4812 4817 2.1 4821 4826 1830 4834 4838 .4842 .4846 4850 2.2 4861 .4854 4857 4864 1868 4871 .4875 .4878 .4881 4884 2.3 4893 .4887 4890 4896 4898 .4901 4904 4906 4909 2.4 4911 4913 4918 4916 .4920 4922 4925 4927 .4929 .4931 2.5 4932 4938 4934 4936 .4940 4941 .4943 .4945 .4946 .4948 4949 4951 4952 2.6 .4953 4955 4956 .4957 .4959 .4960 .4961 2.7 .4962 4963 4964 4965 4966 4967 .4968 4969 .4970 .4971 .4972 2.8 .4973 .4974 4974 .4975 .4976 497 4977 4978 .4979 .4979 2.9 .4980 .4981 4981 4982 4982 4983 .4984 .4984 .4985 .4985 4986 3.0 .4986 .4987 4987 .4987 4988 .4988 .4989 .4989 .4989 .4990 4990 Source: Abridged from Table I of A. Hald, Statistical Tables and Formulas (New York: Wiley), 1952.Problem 35 Easy Difficulty Jump To Question The random variable x has a normal distribution with standard deviation 25. It is known that the probability that x exceeds 150 is .90. Find the mean / of the probability distribution.Problem 37 Easy Difficulty Jump To Question To gauge their fear of going to a dentist, a random sample of adults completed the Modified Dental Anxiety Scale questionnaire ( BMC Oral Health, Vol. 9,2009 ). Scores on the scale range from zero (no anxiety) to 25 (extreme anxiety). The mean score was 11 and the standard deviation was 4. Assume that the distribution of all scores on the Modified Dental Anxiety Scale is approximately normal with / = 11 and 6 = 4. a. Suppose you score a 10 on the Modified Dental Anxiety Scale. Find the z -value for your score. b. Find the probability that someone scores between 10 and 15 on the Modified Dental Anxiety Scale. c. Find the probability that someone scores above 20 on the Modified Dental Anxiety Scale