My Math Forum  

Go Back   My Math Forum > College Math Forum > Advanced Statistics

Advanced Statistics Advanced Probability and Statistics Math Forum

LinkBack Thread Tools Display Modes
February 4th, 2011, 07:54 AM   #1
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 1-1/1.5^2= 5/9 that the time it takes is between 0 and 10 minutes ( 4-1.5*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?
fc_groningen is offline  

  My Math Forum > College Math Forum > Advanced Statistics

amount, money, served, takes

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Average time it takes to complete a task Aloysius Algebra 2 March 27th, 2013 07:01 AM
A motor takes Ts to cover the distance ? r-soy Physics 2 May 18th, 2012 11:31 AM
Money matters winner Elementary Math 0 January 14th, 2011 06:38 AM
which one gives the most money? (probability) megalolz Probability and Statistics 2 November 1st, 2010 01:09 PM
Fractional amount of money? zain Elementary Math 4 May 19th, 2008 09:32 AM

Copyright © 2019 My Math Forum. All rights reserved.