hw7sol_fall03 - AMS 310.01 FALL 2003 Homework#7 Solutions...

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AMS 310.01  FALL 2003   Homework #7    Solutions 5.38 In this case, n=84,  p=0.3,   84 0.3 25.2 μ = = 2 84 0.3 0.7 17.64 σ = = σ =4.2 (20 30) ( 30) ( 20) P X P X P X = - <                                             = 30.5 25.2 19.5 25.2 (1.26) ( 1.36) 4.2 4.2 F F F F - - - = - -            0.8962 0.0869 0.8093 = - = 5.46   This is the Uniform distribution with 0.025 ( 0.025) 0.05 β α - = - - = (a)  1 . 0 050 . 0 / ) 010 . 0 015 . 0 ( ) 015 . 0 010 . 0 ( = - = error P (b)  48 . 0 050 . 0 / ) 012 . 0 012 . 0 ( ) 012 . 0 012 . 0 ( = + = - error P 5.58    The exponential density is = - elsewhere x e x f x 0 0 , 0 1 ) ( 1 β β β and the exponential distribution is β / 0 1 ) ( ) ( x x e
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