kaywendel2008
03.11.2020 •
Mathematics
Internet packets can be classified as video (V) or as generic data (D). Based on a lot of observations taken by the Internet service provider, we 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 Kn is the number of video packets in a collection of n packets.(a)What is E[K48], the expected number of video packets in a set of 48 packets?(b)What is σK48, the standard deviation of the number of video packets in a set of 48 packets?(c)Use the central limit theorem to estimate P[30≤K48≤42], the probability of between 30 and 42 voice calls in a set of 48 calls.(d)Use the De Moivre–Laplace formula to estimate P[30≤K48≤42]. (Yates, 2014-01-17, p. 335) Yates, R. D. (2014-01-17). Probability and Stochastic Processes: Integrated Textbook with Student Solutions Manual, 3rd Edition. [[VitalSource Bookshelf version]]. Retrieved from vbk://9781118976609 Always check citation for accuracy before use.
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