Let X denote the number of bits received in error in a digital communication channel, and assume

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Let X denote the number of bits received in error in a digital communication channel, and assume that X is a binomial random variable with p=0.001. If 1000 bits are transmitted, determine the following:

(a) PX-1)

(b) P(X1)

(c) P(X 2)

(d) mean and variance of X

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