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February 4th, 2011, 07:54 AM  #1 
Member Joined: Dec 2010 From: Drachten, the Netherlands Posts: 49 Thanks: 0  the amount of money it takes the be served
The amount of time it takes a person to be served at a given restaurant is a random variable with the probability density f(x)=1/4e^(x/4) for x>0 What can we assert about the amount of time it takes a person to be served at the given restuarand if we use chebyshev's theorem with k=1.5. What is the corresponding probability rounded to four decimals? I found E(X) = 4 and the standard deviation is also 4. according to chebyshec's theorem the change is at least 11/1.5^2= 5/9 that the time it takes is between 0 and 10 minutes ( 41.5*4 (however have to be >0)<X<4+1.5k). The exact probability is I think e^(10/4) e^(0) = 0.9279 I this both correct? 

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the amount of time it takes a person to be served at a given restaurant is a random variable with the probability density,what can we assert about the length of time it takes a person to be served at the cafeteria, if we use chevyshev's theorm with k = 1.5
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