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var 3X+2)-432 a) Find a and 9 If the random variable X has Gamma (@) .such that E(X-2)-10 and 5) Write the moment generating function of X M(O).

var 3X+2)-432 a) Find a and 9 If the random variable X has Gamma (@) .such that E(X-2)-10 and 5) Write the moment generating function of X M(O).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 54E
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var(3X+2)-432 Find a and 9 If the random variable N has Gamma (a.),such that (X-2)-10 and Write the moment generating function of X M().
Transcribed Image Text:var(3X+2)-432 Find a and 9 If the random variable N has Gamma (a.),such that (X-2)-10 and Write the moment generating function of X M().
Expert Solution
Step 1

We are given the following information as follows

 

X ~ Gamma (α,θ)

and

E(X-2)=10;

and Var(3X+2)=432

We need to find the following information as follows :

  1. Find the values of α and θ
  2. Moment Generating Function of X ie M(t)
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