1.a. Let X be have a Gamma(2,1) distribution. That is the density of X isfx(x) = re", x 2 0.Find the mgf of X.b. Let X1, X2 be iid Exp(1). Show that X1+ X2 has a Gamma(2,1) distribution.(Hint: use mgf argument). 2.a. Let X1, X2 be iid Exp(A) be a sample of size 2 from an Exp(A) distribution.Find k so that0 I(2,1).a) = a.b. Let X1, X2, .,X,, be iid Exp(A) be a sample of size n from an Exp(A) distri-bution. Find k so that...0 <1 < kXis a 1 – a CI for A.Hint: generalize from part a.

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1. a. Let X be have a Gamma(2,1) distribution. That is the density of X is fx(x) = re", a 2 0. Find the mgf of X. b. Let X1, X2 be iid Exp(1). Show that X1+ X, has a Gamma(2,1) distribution. (Hint: use mgf argument).

1. a. Let X be have a Gamma(2,1) distribution. That is the density of X is fx(x) = re", a 2 0. Find the mgf of X. b. Let X1, X2 be iid Exp(1). Show that X1+ X, has a Gamma(2,1) distribution. (Hint: use mgf argument).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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