1. Show that the rth moment about the origin of the gamma distribution isHi =3"T(a+r)T(a)Hint: Substitute y = x/B in the integrating defining u', and then use the gammafunction to evaluate the integral.2. A random variable X has the discrete uniform distributionSE 1= 1,2,...,k,f(x; k) = {6. elsewhere.Show that the moment-generating function of X ise*(1 – ekt)k(1 – et)Mx(t) :3. A random variable X has the Poisson distributionp(x; µ) = e-"u® /æ!for x = 0,1, 2, . Show that the moment-generating function of X isMx (t) = e"(e? –1)

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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