Question

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 (i- 1, 2, ..., 10) corresponds to a value of bit-rate depicting the RV, (Ri, in kbps) each with a number of occurrences (n,) as tabulated below: Group number of the voice packets Associated RV: 625861659 62 63 57 55 58 VoiceBt rate (R) packetsin kbps 70 40 Number of occurrences (n,) of each group of RV 65 60 50 40 50 60 30 20 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: ER] = 60.144 kbps; σ= 2.355 kbps]

Answer 1

er o 9iventha Or- dij Commun'(ah-on ice, transmission involves Streaming packel-Sona jiní 。 uour number o e GI ASSociated R Bit rale in Kb? 62 58 5 62 63 57 55 58 voice Pack es 65 60 50 (n) or Cach Find the utpe and er bounded o e arae per toima Bitrate Perfoimance OccuranC t voicc. pack es 5 40 3 0 58 3480 3 50 3050 6I 5 59 6 0 63 4410

40 80 1650 1160 8 5チ 5 8 Hom the above- tabl- Lower band =1160 the. average_ performance. Op He- bit rate . Desc4fbe- → 자 you have take erformance vへVes 1650 ,60 10 ne 291 ) Find e expected mean, nedian mode, valiance

485 rmean 60.144 2 median 30o 0

Rv(x) Number lf)CF 36 30 5+ 5 8 13 0 150 5 50 5 0 40 50 290 35 0 410 480 6 I 10

CF 600 500 400 300 200 100 0 54 56 58 60 62 64