SOLUTION: An n-byte message is being sent. For greater reliability, k independent information transmission channel is used. What is the probability that at least one channel receives an und

Question 1200587: An n-byte message is being sent. For greater reliability, k independent information transmission channel is used.
What is the probability that at least one channel receives an undistorted message if the probability of a byte being scrambled on each channel is p? (p = 0.23, n = 9, k = 3)
Answer by ikleyn(52776) (Show Source): You can put this solution on YOUR website!
.
An n-byte message is being sent. For greater reliability, k independent information
transmission channels

are used.
What is the probability that at least one channel transmits
an undistorted message if the probability of a byte being
spoiled/(corrupted) on each channel is p? (p = 0.23, n = 9, k = 3).
~~~~~~~~~~~~~~~~~~~~

Wording is definitely curved and oblique in this post.

The probability of the 9-bite message to be undistorted in all 9 bites by any one 
of k=3 independent information transmission channels is

    p =  =  =  = 0.09515 (rounded).


With k=3 independent information transmission channels the probability to transmit
at least one undistorted message is 

    P =  =  = 0.25915  (rounded).    ANSWER

Solved.

RELATED QUESTIONS
A message of n bytes is transmitted through a communication channel. Each byte is... (answered by ikleyn)

what is transmission of... (answered by mtmorro)

5) Alice is trying to send a message to Bob. Eve is an eavesdropper who randomly corrupts (answered by mathmate)

On Jerry's text messaging phone plan, she paid $0.50 for every 20 messages she sent.... (answered by ikleyn)

The guidance system of a ship is controlled by a computer that has three major modules.... (answered by stanbon)

The monthly text plan varies inversely as the number of text messages sent. If I send 450 (answered by stanbon)

A computer sends a packet of information along a channel and waits for a return signal... (answered by rothauserc)

Of the four cards with letters made up the word "byte." What is the... (answered by stanbon)