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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.

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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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.
Transcribed Image Text: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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