A digital transmission channel distorts on average 1 out of 10000 bits during transmission. The bits are

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A digital transmission channel distorts on average 1 out of 10000 bits during transmission. The bits are transmitted independently of each other.

(1) Give the exact formula for the probability of the random event \(A\) that amongst \(10^{6}\) sent bits there are at least 80 bits distorted.

(2) Determine the probability of \(A\) by approximation of the normal distribution to the binomial distribution.

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