Problem 2) If X is an Erlang (n, à) random variable with parameter 2 - 1/3 and expected value E[X]-15, find the following: a) What is the value of the parameter n? b) What is the PDF of X? c) What is Var[X]? Problem 3) If Y is an Erlang (n-2,-2) random variable, find the following:
Problem 2) If X is an Erlang (n, à) random variable with parameter 2 - 1/3 and expected value E[X]-15, find the following: a) What is the value of the parameter n? b) What is the PDF of X? c) What is Var[X]? Problem 3) If Y is an Erlang (n-2,-2) random variable, find the following:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Do ##2
![X
11:43
1 of 1
Exercise#8
EENG 3421-Advanced Engineering Analysis
Exercise #8
Problem 1) If Y is an exponential random variable with Var[Y] =25, find the following:
a) What is the PDF of Y?
b) What is E[Y]?
c) What is P[Y>5]?
Problem 2) If X is an Erlang (n, λ) random variable with parameter 1/3 and expected value
E[X]-15, find the following:
a) What is the value of the parameter n?
b) What is the PDF of X?
c) What is Var[X]?
Problem 3) If Y is an Erlang (n=2, λ-2) random variable, find the following:
a) What is E[Y]?
b) What is Var[Y]?
c) Find P[0.5Y<1.5].
c) What is E[X]?
d) What is E[X³]?
e) What is Ele?
Problem 4) If X is a continuous uniform (-5, 5) random variable, find the following:
a) What is the PDF of X?
b) What is the CDF of X?
Problem 5) If X is a continuous uniform random variable with expected value E[X] = 7 and
variance Var[X]-3, then what is the PDF of X?
Problem 6) Radars detect flying objects by measuring the power reflected from them. The
reflected power of an aircraft can be modeled as a random variable Y with PDF:
5,6)=²*
0
y20
otherwise
where PO> 0 is some constant. The aircraft is correctly identified by the radar if the reflected power
of the aircraft is larger than its average value. What is the probability P[C] that an aircraft is
correctly identified?
ooo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe36fb7f7-6381-4add-b52b-9085dfd27844%2Fc9eaaf86-ef63-4692-bc25-fc7d4b580c03%2Fzo1eukr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:X
11:43
1 of 1
Exercise#8
EENG 3421-Advanced Engineering Analysis
Exercise #8
Problem 1) If Y is an exponential random variable with Var[Y] =25, find the following:
a) What is the PDF of Y?
b) What is E[Y]?
c) What is P[Y>5]?
Problem 2) If X is an Erlang (n, λ) random variable with parameter 1/3 and expected value
E[X]-15, find the following:
a) What is the value of the parameter n?
b) What is the PDF of X?
c) What is Var[X]?
Problem 3) If Y is an Erlang (n=2, λ-2) random variable, find the following:
a) What is E[Y]?
b) What is Var[Y]?
c) Find P[0.5Y<1.5].
c) What is E[X]?
d) What is E[X³]?
e) What is Ele?
Problem 4) If X is a continuous uniform (-5, 5) random variable, find the following:
a) What is the PDF of X?
b) What is the CDF of X?
Problem 5) If X is a continuous uniform random variable with expected value E[X] = 7 and
variance Var[X]-3, then what is the PDF of X?
Problem 6) Radars detect flying objects by measuring the power reflected from them. The
reflected power of an aircraft can be modeled as a random variable Y with PDF:
5,6)=²*
0
y20
otherwise
where PO> 0 is some constant. The aircraft is correctly identified by the radar if the reflected power
of the aircraft is larger than its average value. What is the probability P[C] that an aircraft is
correctly identified?
ooo
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman