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**Unformatted text preview: **Mimi ’ZID FALL 7.0m ~ WAWGEQ’ " Math 210 Thursday, Nov. 15, 2001 (please print) Name: w TA’s Name: o No calculators allowed. \ 0 Show all work. The grader must be able to follow your reasoning. 0 Cross out or erase all incorrect statements that you don’t want counted
against you. 0 Any questions concerning the grading of this test must be raised within
two weeks of the day the test is returned in class. It is your responsibility
to be in class to get your test. 0 Be sure that there are signs that are somewhere between “PLUS” and
“TIMES”. Ambiguous signs will be marked wrong. Each Problem worth 20 points. PROBLEM VALUE SCORE n
00 Math 210 Page 2 1. (20 pts) Let 0, x 3 ~10
%,—m<xg—5
ﬂﬂ: Q '$<x35 , 5<xgu Ooh—A 0, :v > 11
Let X be a random variable With probability density function f Find (a) PT(X Z 12) ' (5 points) (b) Pr(—7 5 X < 7) (5 points) ((3) Pr(—'6 < X < X < 7| — 7 < X < 5) (10 points) Math 210 Page 3 2. (20 pts) Let X be normal Random variable with mean 7 and standard deviation
10. Find (a) PT(X _: 0) (b) PT(10 g X g 12) (c) Pr(5 < X < 8) Math 210 Page 4 3. (20 pts) In each part write the system of equations corresponding to the given
augmented matrix and describe all solutions. 13568|4 (a)00132|4 00001|0
§
¥
13567|9
(b)00112|0
00000I1 Math 210 4. (20 pts) Let (a) What is B - A ? (b) What is 0-3 ? (c) What is A + B? (d) What is A + C? (e) What is Av? (f) What is Bv? h>
ll
oar—t b:
H
Oar-t Q A
II
A A A /‘\
P—‘O plan 001 03.5: 0110 Page 5 Math 210 Page 6 5. (20 pts) Describe all solutions of the system of equations 2161 +3232 +3133 2 8
3331 +3$2 +3333 2 9
3x1 +3322 +4x3 : 8 (You must use matrix methods.) 1
s
‘2
§
5
,
i
i
s a I hmrliﬁJhmhvwztm-w:wu w. “wwwm‘ ....m_.,.............-........... 5... . TABLE A.1 Areas under the' Standard Normal Curve “RE
2 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09
0.0 .0000 .0040 .0080 .0120 .0160 .0199 .0239 .0279 .0319 .0359
0.1 .0398 .0438 .0478 .0517 .0557 .0596 .0636 .0675 .0714 .0753 0.2 .0793 .0832 .0871 .0910 .0948 .0987 .1026 .1064 .1103 .1141
0.3 .1179 .1217 .1255 .1293 .1331 .1368 .1406 .1443 .1480 .1517
0.4 .1554 .1591 .1628 .1664 .1700 .1736 .1772 .1808 .1844 .1879 0.5 .1915 .1950 .1985 .2019 .2054 .2088 .2123 .2157 .2190 .2224
0.6 .2257 .2291 .2324 .2357 .2389 .2422 .2454 .2486 .2517 .2549
0.7 .2580 .281 1 .2842 .2673 .2704 .2734 .2764 .2794 .2823 .2852
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 .3821
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
1.4 .4192 .4207 .4222 .4236 .4251 .4265 .4279 .4292 .4306 .4319 1.5 .4332 .4345 .4357 .4370 .4382 .4394 .4406 .4418 .4429 .4441
1.6 .4452 .4463 .4474 .4484 .4495 .4505 .4515 .4525 .4535 .4545
1.7 g .4554 .4564 .4573 .4582 .4591 .4599 ' .4808 .4616 .4625 .4833
1.8 .4841 .4649 .4856 .4864 .4871 .4878 .4686 .4693 .4899 .4706
1.9 5 .4713 .4719 .4726 .4732 .4738 .4744 .4750 .4756 .4761 .4787 2.0 .4772 .4778 .4783 .4788 .4793 .4798 .4803 .4808 .4812 .4817
2.1 .4821 .4826 .4830 .4834 .4838 .4842 .4846 .4850 .4854 .4857
2.2 .4861 .4864 .4868 .4871 .4875 .4878 .4881 .4884 .4887 .4890
2.3 .4893 .4896 .4898 .4901 .4904 .4906 .4909 .4911 .4913 .4916
2.4 .4918 .4920 .4922 .4925 .4927 .4929 .4931 .4932 .4934 .4936 25 .4996 .4940 .4941 .4949 .4915 .4946 .4948 .4949 .4951 .4952
26 .4953 .4955 .4956 .4957 .4959 .4960 .4961 .4962 .4969 .4964
2.7 .4965 .4966 .4967 .4968 .4969 .4970 .4971 .4972 .4973 .4974
2.9 . .4974 .4975 .4976 .4977 .4977 .4978 .4979 .4979 .4960 .4991
2.9 .4961 .4982 .4962 .4983 .4984 .4984 .4985 .4985 .4966 .4966 3.0 .4987 .4987 .4987 .4988 . .4988 .4989 .4989 .4989 .4990 .4990
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