Probability using binomial distribution

[megr_ftw]

Homework Statement

In a comm. system a byte (8 bits) is transmitted with a bit error probability of 0.1. If the system can correct at most one error made in each byte.
a) what is probability of a byte being received correctly (after correction)?
b)What is most probable number of errors (after correction) in a byte

Homework Equations

binomial tables?

The Attempt at a Solution

im sure this is a binomial distribution and need to use the equation for it an for part a) i got 0.19 and I am not sure it that's right. But part b) is confusing me so I wanted to make sure part a) was correct..

 

[mighty2000]

Your solution for part a) is incorrect. The probability of a byte being received correctly (after correction) should be 0.9, as this is the probability of no bit errors occurring in the transmission. This can be calculated using the binomial distribution formula.

For part b), the most probable number of errors (after correction) in a byte would be 1, as the system can only correct at most one error in each byte. This means that if an error occurs, it will most likely be corrected, resulting in only one error in the byte.