A transmitter is trying to send a packet to a receiver. With each transmission attempt, the pa received with chance p. If the packet is received, the receiver sends an acknowledgement of the p which the transmitter receives with chance q. If the packet is not received, the receiver sends no If an acknowledgement is received by the transmitter it deems the packet transmission as "don the transmitter fails to successfully receive an acknowledgement by the time it would be due to 1

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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. A transmitter is trying to send a packet to a receiver. With each transmission attempt, the packet is
received with chance p. If the packet is received, the receiver sends an acknowledgement of the packet,
which the transmitter receives with chance q. If the packet is not received, the receiver sends nothing.
If an acknowledgement is received by the transmitter it deems the packet transmission as “done." If
the transmitter fails to successfully receive an acknowledgement by the time it would be due to arrive,
it proceeds with a new transmission attempt.
(a) Let X be the number of transmission attempts it takes on the transmitter's part until the trans-
mitter deems the packet transmission as “done." What is the PMF of X?
(b) What is E[X]?
Transcribed Image Text:. A transmitter is trying to send a packet to a receiver. With each transmission attempt, the packet is received with chance p. If the packet is received, the receiver sends an acknowledgement of the packet, which the transmitter receives with chance q. If the packet is not received, the receiver sends nothing. If an acknowledgement is received by the transmitter it deems the packet transmission as “done." If the transmitter fails to successfully receive an acknowledgement by the time it would be due to arrive, it proceeds with a new transmission attempt. (a) Let X be the number of transmission attempts it takes on the transmitter's part until the trans- mitter deems the packet transmission as “done." What is the PMF of X? (b) What is E[X]?
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