In the case you solved Exercise 36, find the mean speed of a molecule (Advice Use the fact that (t 1) t(t) ) Exercise 36 Show that E k 2((k 1) 2) (k 2) (Advice A simple way is to consider a r v U having the 2 k distribution that is, the distribution with parameters (1 2 , k 2 ), and write the integ...

Using the result of Exercise 3 ...

In the case you solved Exercise 36, find the mean speed of a molecule. (Advice: Use the

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In the case you solved Exercise 36, find the mean speed of a molecule. (Advice: Use the fact that Γ(t +1) = tΓ(t).)

Exercise 36

Show that E{χ_k} = √2Γ((k + 1)/2)/Γ(k/2). (Advice: A simple way is to consider a r.v. U having the χ²_k-distribution; that is, the Γ-distribution with parameters (1/2 , k/2 ), and write the integral for

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Probability And Stochastic Modeling

ISBN: 9781439872062

1st Edition

Authors: Vladimir I. Rotar

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Question Posted: Jan 11, 2024 09:02 AM

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In the case you solved Exercise 36, find the mean speed of a molecule. (Advice: Use the

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Probability And Stochastic Modeling

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