Q. 1 (i) Find moment generating functions (mgf) of the following probability distributions. (ii) Using mgf found in (i) above, find mean and variance. (i) fx(x;n, p) = {G 0; p*q"=x; x = 0,1,2,,n, e.w.

Q. 1 (i) Find moment generating functions (mgf) of the following probability distributions. (ii) Using mgf found in (i) above, find mean and variance. (i) fx(x;n, p) = {G 0; p*q"=x; x = 0,1,2,,n, e.w.

Name: answer all questions please Q. 1 (i) Find moment generating functions
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Description: answer all questions please Q. 1 (i) Find moment generating functions (mgf) of the followingprobability distributions.(ii) Using mgf found in (i) above, find mean and variance.(i) fx(x; n, p) = {G)p*q"=*; x= 0,1,2,",n,0;e. w.; x = 0,1,2,,(ii) fx(x; 1

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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answer all questions please

Q. 1 (i) Find moment generating functions (mgf) of the following
probability distributions.
(ii) Using mgf found in (i) above, find mean and variance.
(i) fx(x; n, p) = {G)p*q"=*; x= 0,1,2,",n,
0;
e. w.
; x = 0,1,2,,
(ii) fx(x; 1) =
0;
x!
е. W.
- xª-1e-x/ß;0 < x<∞
r(a)Ba*
(iii) fx(x; a, ß)
(iv) fx (x; ß) =e-*/B; 0 < x < ∞
(x-u)21
(v) fx(x; µ, 0) =
еxp
202
1
(vi) fx(x; a, ß) :
xa-i(1 – x)8-1;0 <x<1
B(a,B)
r(a)r(B)
where B(a, B) =
r(a+B)
(vi fx (x; α β) :
a
%3D
dxəq-px÷
Please present all results in a table.

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