Tate: /20Day:A random Variable x takes value X; with Probabilityi = 1,... N labelling all possibilities. The meanPi, with i = 1, NValue of x is given,NX = ½ ≤ Pixi14/12 2015/12N i=1And, Shonon entropy of x isXNS(x) = — 2/1i=1وفه givenPilog PiFind distribution which maximises the Shonon entropyfor a fixed value of meon X. Formulate this asdLongsonge multiplier problem and show thatthe distribution which solves it has formeP₁ = 1 = PX ₁Piwhere, B and ZConin principle (but may benot in practive) be found in terms of values{X j }, X and N.

There are N different values taken by a random variable Xi with respective probability pi. The…

Answered: A xondom Variable x takes value X; with…

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 xondom Variable x takes value X; with Bobabilty Pi with i=1, N i = 1,..., N labelling all possibilities. The mean Value of X is given, N X = ¼ ½ Pixi = = And, Shonon entropy of x Ni=1 is S(x) - given as, Σ pilapi