In a memory cell of a computer n-bit binary number is recorded. Each bit position of this number, irrespective of the rest of bit positions, has the value of 0 or 1 with the equal probability. A...

In a memory cell of a computer n-bit binary number is recorded. Each bit position of this number, irrespective of the rest of bit positions, has the value of 0 or 1 with the equal probability. A random variable ξ is a number of bit positions, which is equal “1”. To find the probabilities of the events {ξ = m}, {ξ ≥ m}, {ξ

values 0 or 1 independent from each other. Each digit is distorted with the probability p. At coding the messages the error-correcting code in one or two digits is applied. This code operates practically with a complete reliability. The presence of an error even in one digit (after correction) leads to the erroneous message. To find probability that even one of k messages will be erroneous.