(6). A file consisting of X packets is sent over the network to an end user. It is known that X is a random variable with PMF Px(x) = cx² for x = 1,2,3,4; and Px(x) = 0 otherwise. Each packet is received correctly with probability p, independently of the other packets. a) Find the constant c. b) Find P[X2]. c) Find the probability that the entire file is received correctly, i.e., all X packets are received correctly.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

handwritten answers please. please show steps and explain the process 

(6). A file consisting of X packets is sent over the network to an end
user. It is known that X is a random variable with PMF Px(x) = cx² for x = 1,2,3,4; and
Px(x) = 0 otherwise. Each packet is received correctly with probability p, independently of
the other packets.
a) Find the constant c.
b) Find P[X2].
c) Find the probability that the entire file is received correctly, i.e., all X packets are
received correctly.
Transcribed Image Text:(6). A file consisting of X packets is sent over the network to an end user. It is known that X is a random variable with PMF Px(x) = cx² for x = 1,2,3,4; and Px(x) = 0 otherwise. Each packet is received correctly with probability p, independently of the other packets. a) Find the constant c. b) Find P[X2]. c) Find the probability that the entire file is received correctly, i.e., all X packets are received correctly.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman