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Standard Normal par Name \. .L. "' N ( p = G, a = 1) (Use the cumulative standard normal table for the following)
For each problem, sketch :1 picture of the curve, shading appropriately,
determine the answer to the problem. write the probability statement and 0 1. Determine the probability that Z is within one s.d. of the mean. ttJ'l“ ‘ r I
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2. Determine the probability that Z is within two s.d. of the mean. .l. l. q 50/}, l J l .
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3. Determine the probability that Z is within three s.cl. of the mean.
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1. J' 4 4. Compare your results in problems 1  3 to the Empirical Rule. N" ‘l I \l, L; It ‘_ l i ll— “ \ll‘ ; WK 1 iii‘1 5. Determine the probability that Z is less than 1.35. \qtlémr 6. Determine the probability that z exceeds 27 7. ./r‘mm, tame,w¢t:omo
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Mfg/0‘». ’7. Determine the probability that Z exceeds ~2.17. “Him K Determine the pro 3 ''
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r r j'd "i. U}? 9. Determine the probability that Z is between — 1.25 and 2.45. 1 wet
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Mi. 7 ‘rcw‘W'Wl ML". . Va QM ﬂ “1532;?  F 1/" ‘ ' ’ ea 74 Determine the probability that Z is between 0.45 and 2,72.
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\ 11. Detemrir'ie the probability that z is between — 1.5 and 0.0. Wit .‘Ii 10”” \
\ (5.39% 12. Determine the probability that Z is greater than 2.15 or less than — 1.75 1.. . i“ i r ‘ ‘ ,9 M? AMI.» t gig/0 i in w ' .1 5% L rJLlOt» K “ff—E
13. Determine the number :0 so that the area to the leﬂ of 2‘, equals .9744 . 14. Determine the number 21, so that the area to the right ofzo equals .8508. 21,]..0‘4 '_ .. z m a .J m‘gm [Z 7 J x: W \ (1:3: /
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 Spring '08
 Patton
 Normal Distribution, 7 J, 03%, Hzi. ‘

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