LFD Book Forum Problem 1.8c
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#1
05-31-2016, 07:59 PM
 dwilli3501 Junior Member Join Date: May 2016 Posts: 2
Problem 1.8c

Not sure how the inequality in Problem 1.8c follows from parts a & b, but it is clear that the following inequality holds in 1.8c

P[(u - N*mu)^2 >= alpha] <= variance/(N*alpha)

Any suggestions?
#2
06-01-2016, 09:29 AM
 dwilli3501 Junior Member Join Date: May 2016 Posts: 2
Re: Problem 1.8c

Figured out the problem. I mistakenly thought the mean of u was N*mu.
#3
07-24-2016, 03:28 AM
 williamshakespare Junior Member Join Date: Mar 2016 Posts: 6
solution of 1.8C

1.8(c) solution
1.take [ (u1 - miu) + (u2 - miu) + ... + (un - miu) ] as a new random variable
2.its mean is 0, and variance is N * (variance of ui)
do you got me?
#4
11-09-2018, 07:45 AM
 Ulyssesyang Junior Member Join Date: Nov 2018 Posts: 3
Re: solution of 1.8C

Quote:
 Originally Posted by williamshakespare 1.8(c) solution 1.take [ (u1 - miu) + (u2 - miu) + ... + (un - miu) ] as a new random variable 2.its mean is 0, and variance is N * (variance of ui) do you got me?
You are amazing!

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