# hw5solns - Solutions to Homework 5 4.45 Let X denote the...

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4.45 Let X denote the number of underfilled cartons in the selected 50 cartons, If 50 cartons are selected independently, then X can be modeled to have a binomial distribution with p . a. 0.05, p = We then have 2 0 2 50 0 ( 2) ( ) 50 (0.05) (1 0.05) 0.5405 x x x x P X p x x = - = = = - = b. 0.1, p = We then have 2 0 2 50 0 ( 2) ( ) 50 (0.1) (1 0.1) 0.1117 x x x x P X p x x = - = = = - = 4.49 a. The assumption is that every inspection is an independent event. b. 1 2 3 (a wing crack is detected) 0.36 P p p p = = Let X denote the number of planes detected a wing crack, the binomial distribution is a reasonable model for this experiment, 0.36 p = , then ( 29 ( 29 0 3 ( 1) 1 ( 0) 3 1 0.36 1 0.36 0 0.7379 P X P X = - =   = - -     = 4.54 Let X denote the number of components last longer than 1000 hours, then X can be modeled to have a binomial distribution with 1 0.15 0.85 p = - = a. We have

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## This note was uploaded on 06/05/2011 for the course STA 4321 taught by Professor Staff during the Spring '08 term at University of Florida.

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hw5solns - Solutions to Homework 5 4.45 Let X denote the...

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