a. Explain the difference between the method of moment generating function and the method of incarnation to find the probability density function of a random variable

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 28E
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a. Explain the difference between the method of moment generating function and the method of incarnation to find the probability density function of a random variable

 

b.  Let X1, X2, X3 ,,,,, each of them has Poisson distribution with parameter lamda 1, lamda2, lamda3,........

i. Get the probability distribution of Y=X1+X2+....Xn

ii. Get the mean and variance of Y

c. Y1 and Y2 be a joint probability function as shown below in the  screenshot imageU=Y1/(Y1+Y2), Using the method of incarnation (Jacobian), find the probability density function of U

|-(y; + y2)
-exp
y, > 0, y, >0
fy x, (Y1»Y2)={ B²
selainnya
Transcribed Image Text:|-(y; + y2) -exp y, > 0, y, >0 fy x, (Y1»Y2)={ B² selainnya
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