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PROBLEM 6 A wireless modem transmits the digital message between terminal A and B. Experiment found that the probability of error per GB data is 0.1. If 100 GB data is transmitted, wha is the probability that fewer than 25 have no error?

PROBLEM 6 A wireless modem transmits the digital message between terminal A and B. Experiment found that the probability of error per GB data is 0.1. If 100 GB data is transmitted, wha is the probability that fewer than 25 have no error?

A First Course in Probability (10th Edition)
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...
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PROBLEM 6 A wireless modem transmits the digital message between terminal A and B. Experiment found that the probability of error per GB data is 0.1. If 100 GB data is transmitted, what is the probability that fewer than 25 have no error? PROBLEM 7 Due to the strong channel noise, a wireless communication system has a 0.12 error probability to transmit a single digital bit 0 or 1. In order to reduce the chance of error, a new system is designed to transmit 0000000 instead of 0, and 1111111 instead of 1. The receiver will use majority decoding scheme to determine the received bit. Majority decoding means that the message is decoded as 0 if there are at least 4 zeros in the received message and as 1 otherwise. What is the error probability of the new system? And how much does the new system reduce the error probability?
Transcribed Image Text:PROBLEM 6 A wireless modem transmits the digital message between terminal A and B. Experiment found that the probability of error per GB data is 0.1. If 100 GB data is transmitted, what is the probability that fewer than 25 have no error? PROBLEM 7 Due to the strong channel noise, a wireless communication system has a 0.12 error probability to transmit a single digital bit 0 or 1. In order to reduce the chance of error, a new system is designed to transmit 0000000 instead of 0, and 1111111 instead of 1. The receiver will use majority decoding scheme to determine the received bit. Majority decoding means that the message is decoded as 0 if there are at least 4 zeros in the received message and as 1 otherwise. What is the error probability of the new system? And how much does the new system reduce the error probability?
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