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Question # 1 Voice-transmission involves streaming of packets on a digital communication link wherein the statistics of occurrence of bits in each packet can be considered as of approximately similar bit- rate (constant bit rate (CBR) transmission type). Suppose a mix of such voice packets appears randomly in a grouped set of ten (10) types in a transmission; and, each group indexed as (i1, 2, .., 10) corresponds to a value of bit-rate depicting the RV, (R, in kbps) each with a number of occurrences (n) as tabulated below: Group number of the23 46789 10 voice packets Associated RV: 62 58 6 59 63 57 55 58 Voice Bit rate (R) packets in kbps 65 60 50 40 50 60 7040 30 20 Number of occurrences (n) of each group of RV Determine the following of the RV (denoting the bit-rate: Ri in kbps: (a) Find the upper and lower-bounds of the average performance of the RV (b) State with reason the most appropriate mean value (AM, HM or GM) that describes the average performance of the bit rate (c) Find the expected mean, median, mode, variance and standard deviation (d) Plot the cumulative probability distribution (CDF) of the RV. [Answer-hints: E[R1-60.144 kbps; ơ-2-355 kbps]

Answer 1

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