Internet packets can1 be classified as video (V ) or as

Chapter 9, Problem 9.38

(choose chapter or problem)

Internet packets can1 be classified as video (V ) or as generic data ( D). Based on a lot of observations taken by the Internet service provider, 've have the following probability model: P[V] = 0.8, P [D] = 0.2. Data packets and video packets occur independently of one another. The random variable K n is the number of video packets in a collection of n packets. (a) What is E[K4s], the expected number of video packets in a set of 48 packets? (b) W hat is aK48 , the standard deviation of the number of video packets in a set of 48 packets? ( c) Use the central limit tlheore.m to estimate P [30 < f{4s < 42], the probability of bet,veen 30 and 42 voice calls in a set of 48 calls. ( d) Use the De l\/Ioivre- Laplace formula to estimate f> [30 < K 48 < 42].

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