STA 301 - HW06 Key

STA 301 - HW06 Key - ( 29 3 2 12 12 24 2 2 2 2 3 =--=-= = =...

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Unformatted text preview: ( 29 3 2 12 12 24 2 2 2 2 3 =--=-= = = + + + - x dx x dx x xf ( 29 { } ( 29 { } ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 732 . 1 3 3 9 18 12 2 3 2 3 2 1 24 3 3 24 9 6 24 24 9 6 24 3 3 3 3 2 2 3 2 1 2 4 3 2 2 4 2 2 4 2 2 2 2 2 = = +--= -+---+-=-+-= +-= +-= -=-=-=-= +--- +--- + + + - x x x dx x x x dx x x x dx x x dx x f x X E X E STA 301 Applied Statistics Spring 2008, Section B Homework #6 - Key Due Friday, March 7 Question 1 The hospital stay, in days, for patients following treatment for a certain type of kidney disorder is a random variable X with density function ( 29 2 , 24 4 = x x x f (a) Find the average number of days that a person is hospitalized following treatment for this disorder. (b) Find the standard deviation for the number of days that a person is hospitalized following treatment for this disorder. Using the definitional formula ----- OR ----- STA 301-B, Spring 2008 Homework 6 Key Page 2 of 6 ( 29 ( 29 732 . 1 3 3 9 2 24 9 24 9 24 3 2 2 2 2 2 2 2 2 = =---=--=-=-=-= + + + - x dx x dx x f x X E ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 5 . 5 9 6 3 3 1 2 1 6 1 = + +-= = x x xf X E ( 29 ( 29 { } ( 29 ( 29 ( 29 [ ] ( 29 ( 29 [ ] ( 29 ( 29 [ ] ( 29 209 3 361 2 169 6 25 1 9 2 1 6 2 1 3 2 1 2 1 2 3 1 2 2 1 2 6 1 2 2 2 = + + = + + + + +-= + = + = x x f x X E Y E Using the computational formula...
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This homework help was uploaded on 04/17/2008 for the course STA 301 taught by Professor Noe during the Spring '08 term at Miami University.

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STA 301 - HW06 Key - ( 29 3 2 12 12 24 2 2 2 2 3 =--=-= = =...

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