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1. The following is the probability distribution of the number of computer network interruptions in...

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1. The following is the probability distribution of the number of computer network interruptions in one day. 3 X P(X = x) 0 0.18 1 0.23 2 0.21 4 a 5 0.11 0.15 (a) (b) (c) Compute the value of a. Find the probability that not encountered with computer network interruption in one day. Find the probability that at least three times of computer network interruptions in one day. Find the probability that at most four times of computer network interruptions in one day Find the expected value of x. Find the variance and standard deviation of X. (d) (e) (f)

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