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.

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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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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