Question: 22. (10 marks) A binary communication channel transmits a sequence of bits (Os and 1s). Suppose that for any particular bit transmitted, there is 10%

22. (10 marks) A binary communication channel

22. (10 marks) A binary communication channel transmits a sequence of "bits" (Os and 1s). Suppose that for any particular bit transmitted, there is 10% chance of a transmission error ( a 0 becoming a 1 or a 1 becoming a 0). Assume that bit errors occur independently of one another. a. (2 marks) If we send 5 bits, what is the probability that exactly one of the five bits is incorrect? b. (4 marks) Considering transmitting 500 bits, what is the probability that at most 55 transmission errors occur? C. (4 marks) If we send the same 500-bit message two different times independent of one another, What is the probability that the difference between the first number and the second number of bit errors (the first number - the second number) is at most 10

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