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STA 301 - HW06

# STA 301 - HW06 - STA 301 Applied Statistics Spring 2008...

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STA 301 – Applied Statistics Spring 2008, Section B Homework #6 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.

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STA 301-B, Spring 2008 Homework 6 Page 2 of 6 Question 2 Let X be a discrete random variable with the following probability distribution: ( 29 = = - = = 9 , 6 , 3 , 3 1 2 1 6 1 x x x x f Let ( ( 2 1 2 + = = X X g Y . (a) Find the expected value of X . (b) Find the expected value of Y .
STA 301-B, Spring 2008 Homework 6 Page 3 of 6 Question 3 (p. 113, #4.14 - modified) The proportion of individuals that responds to a certain mail-order solicitation is given by the random variable X . Suppose X has the density function: ( ( ( 1 , 0 , 2 5 2 + = x x x f .

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STA 301 - HW06 - STA 301 Applied Statistics Spring 2008...

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