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. a. Find the probability that one bit has high distortion one has moderate distortion, and three bits have low distortion. b. Find the probability that four bits have low distortion.
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. a. Find the probability that one bit has high distortion one has moderate distortion, and three bits have low distortion. b. Find the probability that four bits have low distortion.
A First Course in Probability (10th Edition)
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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.
a. Find the probability that one bit has high distortion one has moderate distortion, and three bits have
low distortion.
b. Find the probability that four bits have low distortion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F106cb391-667f-425b-940f-8509a6b1c63a%2Fad922889-e5db-47d6-83cd-e4785a69c3e9%2Ft0f8jp_processed.jpeg&w=3840&q=75)
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.
a. Find the probability that one bit has high distortion one has moderate distortion, and three bits have
low distortion.
b. Find the probability that four bits have low distortion.
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