Standard Normal Prob. Homework

Standard Normal Prob. Homework - I g73?cl Standard Normal...

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Unformatted text preview: I g73%?cl 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 . . ll '» t W “A? t \ uwmat . 14w -' l 2. Determine the probability that Z is within two s.d. of the mean. .l. l. q 50/}, l J l . l 3. Determine the probability that Z is within three s.cl. of the mean. .‘ 7 ‘ I‘ I c 1/ - .i qath 1. J' 4 4. Compare your results in problems 1 - 3 to the Empirical Rule. N"- ‘l I \l, L; It ‘_ l i ll— “ \l-l‘ ; 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 : ‘Ua " Mfg/0‘». ’7. Determine the probability that Z exceeds ~2.17. “Him K Determine the pro 3 '-' O - "it H" r r j'd "i. U}? 9. Determine the probability that Z is between — 1.25 and 2.45. 1 wet 1 t D "to MW 1 1‘ W? f __ _ 'Iqtré‘ei ‘ 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. 7 I‘ "‘ at"?! .. . ti. 110d), fl-i )Hzi. ‘ Us w I ~11 5e \ / 03% . / . ‘ $393" . (9 _\ \ [tilfit \ 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: / 3'59 J ...
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Standard Normal Prob. Homework - I g73?cl Standard Normal...

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