You are given a vector of numbers: [127, 71, 87, 31, 59, 3, 43, 99, 100, 42, 0, 58, 30, 88, 72, 130], each data point records the frequency of communication of a server in a 5-minute interval. For example, in the first 5 minutes, 127 contacts are observed. In the next 5 minutes, 71 contacts, … Required:
a. Give the Haar decomposition and draw a corresponding error tree for the contacts data vector.
b. Give the process and result for reconstructing the frequency during time interval [15, 20] using Haar decomposition.
c. Use Haar decomposition and error tree to compute the total number of communications between time interval [15, 30].

Given a link with a maximum transmission rate of 32.8 mbps. only two computers, x and y, wish to transmit starting at time t = 0 seconds. computer x sends filex (4 mib) and computer y sends filey (244 kib), both starting at time t = 0. statistical multiplexing is used, with details as follows packet payload size = 1000 bytes packet header size = 24 bytes (overhead) ignore processing and queueing delays assume partial packets (packets consisting of less than 1000 bytes of data) are padded so that they are the same size as full packets. assume continuous alternating-packet transmission. computer x gets the transmission medium first. at what time (t = ? ) would filey finish transmitting? give answer in milliseconds, without units, and round to one decimal places (e.g. for an answer of 0.013777 seconds you would enter "13.8" without the quotes)