Chapter 6 Solns

# Chapter 6 Solns - x = salad plate filling weight a= b= 5 15...

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STAT200 Chapter 2 Example 1 Fall 2007 x = salad plate filling weight a = 5 b = 15 1/(b-a) a b Use the chart above to draw the distribution What is the value of f(x) - the y axis value? f(x) = =1/(B5-B4) 0.1 Compute E(x) E(x) = =(B4+B5)/2 10 Compute Var(x) =((B5-B4)^2)/12 8.33 What is the probability that a customer will take between 12 and 15 ounces of salad? 1/(b-a) a 12 15 Area = Height * Base P(12 < x < 12) = .1 * (15-12) 0.3 Slater customers are charged for the amount of salad they take. Sampling suggests that the amount of salad taken is uniformly distributed between 5 ounces and 15 ounces. Excel Features/Functions: Draw borders Using point and click to enter formulas       ( x ) = 1/( ) = 1/( b  –   –  a )   for  )   for  a  <  <     x  <   <  b                           = 0  elsewhere = 0  elsewhere E( E( x ) = ( ) = ( a  +   +  b )/2 )/2 Var( Var( x ) = ( ) = ( b  -   -  a ) 2 /12 /12 P(12 <  x  < 15)

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1. Convert x to the standard normal distribution.
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## This note was uploaded on 10/14/2008 for the course STATS 500 taught by Professor Grady during the Spring '08 term at Xavier.

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Chapter 6 Solns - x = salad plate filling weight a= b= 5 15...

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