DS212_HW5_Solutions

DS212_HW5_Solutions - DS 212 Business Statistics Soorapanth...

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DS 212 Business Statistics Soorapanth Homework #5 Solutions 5.1 x P ( x ) x · P ( x ) ( x - µ ) 2 ( x - µ ) 2 · P ( x ) 1 .238 .238 2.775556 0.6605823 2 .290 .580 0.443556 0.1286312 3 .177 .531 0.111556 0.0197454 4 .158 .632 1.779556 0.2811700 5 .137 .685 5.447556 0.7463152 µ = [ x · P ( x )] = 2.666 σ 2 = [( x - µ ) 2 · P ( x )] = 1.836444 = 836444 . 1 = 1.355155 5.2 x P ( x ) x · P ( x ) ( x - µ ) 2 ( x - µ ) 2 · P ( x ) 0 .103 .000 7.573504 0.780071 1 .118 .118 3.069504 0.362201 2 .246 .492 0.565504 0.139114 3 .229 .687 0.061504 0.014084 4 .138 .552 1.557504 0.214936 5 .094 .470 5.053504 0.475029 6 .071 .426 10.549500 0.749015 7 .001 .007 18.045500 0.018046 µ = [ x · P ( x )] = 2.752 2 = [( x - µ ) 2 · P ( x )] = 2.752496 = 752496 . 2 = 1.6591 5.3 x P ( x ) x · P ( x ) ( x - µ ) 2 ( x - µ ) 2 · P ( x ) 0 .461 .000 0.913936 0.421324 1 .285 .285 0.001936 0.000552 2 .129 .258 1.089936 0.140602 3 .087 .261 4.177936 0.363480 4 .038 .152 9.265936 0.352106 E ( x ) = µ = [ x · P ( x )]= 0.956 2 = [( x - µ ) 2 · P ( x )] = 1.278064 = 278064 . 1 = 1.1305 1
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DS 212 Business Statistics Soorapanth 5.5 a) n = 4 p = .10 q = .90 P ( x =3) = 4 C 3 (.10) 3 (.90) 1 = 4(.001)(.90) =
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This note was uploaded on 09/10/2011 for the course DS 212 taught by Professor Saltzman during the Spring '08 term at S.F. State.

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DS212_HW5_Solutions - DS 212 Business Statistics Soorapanth...

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