Exercise 4.2 In the transmission of digital information, the probabilities that a bit has high, moderate, and low distortion are 0.01, 0.04, and 0.95, respectively. Suppose that n 5 bits are transmitted and the amount of distortion of each bit is independent. 1. Find the probability that one bit has high distortion, one has moderate distortion, and three bits have low distortion. 2. Find the probability that four bits have low distortion.

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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Exercise 4.2 In the transmission of digital information, the probabilities that a bit has
high, moderate, and low distortion are 0.01, 0.04, and 0.95, respectively. Suppose
that n = 5 bits are transmitted and the amount of distortion of each bit is
independent.
1. Find the probability that one bit has high distortion, one has moderate
distortion, and three bits have low distortion.
2. Find the probability that four bits have low distortion.
Transcribed Image Text:Exercise 4.2 In the transmission of digital information, the probabilities that a bit has high, moderate, and low distortion are 0.01, 0.04, and 0.95, respectively. Suppose that n = 5 bits are transmitted and the amount of distortion of each bit is independent. 1. Find the probability that one bit has high distortion, one has moderate distortion, and three bits have low distortion. 2. Find the probability that four bits have low distortion.
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