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{χk} = √2Γ((k + 1)/2)/Γ(k/2). (Advice: A simple way is to consider a r.v. U having the χ2k -distribution; that is, the Γ-distribution with parameters (1/2 , k/2 ), and write the integral for
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