Question: A transmitted message consists of binary information (0 or 1) and has a length of 1024. A correction software can automatically correct the transmitted message

A transmitted message consists of binary information (0 or 1) and has a length of 1024. A correction software can automatically correct the transmitted message if the number of errors (wrong bit-either 1 in place of O or otherwise) is less or equal to 128. It is known, that error in each bit occurs independently and with a probability of 11%

a) Describe the distribution of the number of errors inside the message. Estimate the probability that the correction software won't be able to correct the message.

b) How can you describe the distribution from point a) using the limit theorems? Estimate the probability that the correction software won't be able to correct the message using this continuous distribution and compare the results.

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