3. If X has probability density is given by f(x) e for x>0 (i) Find the moment generating function Iui) = E(e*) = {e fle) メヤ Ect X(1-+) e for Ityo! 十-4 (ii) E(X): Mean u: M= M'Cx) - O(t-1)-1-D C+-1)2 Segond moma 11
3. If X has probability density is given by f(x) e for x>0 (i) Find the moment generating function Iui) = E(e*) = {e fle) メヤ Ect X(1-+) e for Ityo! 十-4 (ii) E(X): Mean u: M= M'Cx) - O(t-1)-1-D C+-1)2 Segond moma 11
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Could you please give the correct solutions for this homework
Transcribed Image Text:3. If X has probability density is given by
f(x) =
e* for x >0
(i) Find the moment generating function
u, M) = ECe**) = {e fle)
%3D
3=
e
X(1-+)
%3D
+ -1
for t
ナ-4
1センナフ0)
(ii) E(X): Mean u:
M= M'Cx)
=0(t-1)-16-D
(+-1)2
ECK) =D
(iii) E(X): Second momentu2
1-4tp
- OCt-D-2(+-1)<1)
(+ -)?
%3D
Expert Solution
Step 1
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON