It is known that X is a random variable with PMF Px(x) = cx? for x = Px(x) = 0 otherwise. Each packet is received correctly with probability p, independently of the other packets. 1,2, 3, 4; and a) Find the constant c. b) Find P[X > 2]. c) Find the probability that the entire file is received correctly, i.e., all X packets are received correctly.
It is known that X is a random variable with PMF Px(x) = cx? for x = Px(x) = 0 otherwise. Each packet is received correctly with probability p, independently of the other packets. 1,2, 3, 4; and a) Find the constant c. b) Find P[X > 2]. c) Find the probability that the entire file is received correctly, i.e., all X packets are received correctly.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Question
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 =
Px(x) = 0 otherwise. Each packet is received correctly with probability p, independently of
the other packets.
1, 2, 3, 4; and
a) Find the constant c.
b) Find P[X > 2].
c) Find the probability that the entire file is received correctly, i.e., all X packets are
received correctly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F099a9854-7cc3-46b9-a37c-ec0486b4a12a%2F5343b023-b141-4af0-bd9a-e52ca8df4fae%2F206lg3p_processed.png&w=3840&q=75)
Transcribed Image Text:It is known that X is a random variable with PMF Px(x) = cx² for x =
Px(x) = 0 otherwise. Each packet is received correctly with probability p, independently of
the other packets.
1, 2, 3, 4; and
a) Find the constant c.
b) Find P[X > 2].
c) Find the probability that the entire file is received correctly, i.e., all X packets are
received correctly.
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