DayTate:. /20A rondom Variable x takes value X; with ProbabiltyPi with i=1 labelling all possibilities. The meanValue of x is given,NX = 1 ≤ PixiNi=1And Shamon entropy of x is given asNS(x)=& PilogPi(= 1Find the distribution which maximises Shononentropy. Formulate this as Longsonge multiplier problemand solve it to find relevant distribution?(Note: Values Xi are considered to be fixed.).b)-Find distribution which maximises the Shonon entropyfor a fixed value of meon X Formulate this asa Longsonge multiplier problem and show thatthe distribution which solver it has form,d1PXiin principle (but may bein practive) be found in terms of valuesPiwhere, B and Znot=ZCon{X₁3X and N-

A random variable X takes values Xi with probability Pi where i=1,2,....,N The mean value of X is,…

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A rondom Variable x takes value X; with Robabilty Pi, with (= 1,... N labelling all possibilities. The meats value of x is given, I cl N X = = = = = = Pixi i=1