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) = {x)p*q"=*;_x= 0,1,2,-, n,0;е. w.(e-^ax.x = 0,1,2,,(ii) fx(x; 2) =0;x!е. W.1( ii) fx (x; α, β) :r(a)ga x“-te¬x/B; 0 < x <∞(iv) fx(x; ß) = e-x/B;0 < x< ∞1(x-µ)²](v) fx(x; µ, o) = ToVER exp[-;-00 < x< ∞2σ21( vi) fK (x; α, β)B(a,f) *"-(1 – x)*-1; 0 < x < 1%3DГ(а)Г(В)where B(a,ß) =r(a+B)(vii) F<(x, a, f) = x«-lexp[-;)"]:0

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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) = {x)p*q"=*;_x= 0,1,2,-, n, 0; е. w. (e-^a*. x = 0,1,2,, (ii) fx(x; 2) = 0; x! е. w. 1 (iii) fx(x; a, ß) : r(@)gax«=?e¬x/B; 0 < x< ∞ (iv) fx(x; ß) = e-*/B;0 < x< ∞ (v) fx (x; µ, o) = exp[- (x-µ)²] 1 exp - еxp ;-00

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) = {x)pq"=;_x= 0,1,2,-, n, 0; е. w. (e-^a. x = 0,1,2,, (ii) fx(x; 2) = 0; x! е. w. 1 (iii) fx(x; a, ß) : r(@)gax«=?e¬x/B; 0 < x< ∞ (iv) fx(x; ß) = e-/B;0 < x< ∞ (v) fx (x; µ, o) = exp[- (x-µ)²] 1 exp - еxp ;-00

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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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) = {x)p*q"=*;_x= 0,1,2,-, n,
0;
е. w.
(e-^ax.
x = 0,1,2,,
(ii) fx(x; 2) =
0;
x!
е. W.
1
( ii) fx (x; α, β) :
r(a)ga x“-te¬x/B; 0 < x <∞
(iv) fx(x; ß) = e-x/B;0 < x< ∞
1
(x-µ)²]
(v) fx(x; µ, o) = To
VER exp[-
;-00 < x< ∞
2σ2
1
( vi) fK (x; α, β)
B(a,f) *"-(1 – x)*-1; 0 < x < 1
%3D
Г(а)Г(В)
where B(a,ß) =
r(a+B)
(vii) F<(x, a, f) = x«-lexp[-;)"]:0<xs ∞
еxp
Please present all results in a table.

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