3) Consider a die with 6 faces with values 1,2.3.4.5,6. In principle theprobabilities to draw the faces are all equal to so that after several drawson average the value is (1+2+3+4+5+6) = 3.5. Suppose now that theaverage value is found to be 4. In the absence of any other information onthe die, suggest a way to determine the probabilities p1. p.p3. Pa. P5: P6?(hint: use Shannon statistical entropy)4) What are the constraints the p;'s have to satisfy ?

Probability of drawing the faces 1 2 3 4 5 6 1/6 1/6 1/6 1/6 1/6 1/6 Expected value =…

Answered: 3) Consider a die with 6 faces with…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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Similar questions

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Exercise 24 Let A and B be 2 events : P(A) : 1 and P(B') 1 Can A and B be mutually exclusive? Why?
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There are two bags A and B. Bag A contains n white balls and 2 black balls while bag B contains 2 white balls and n black balls. One of the two bags is selected at random and two balls are drawn from it without replacement. We know that if both the balls drawn are white balls, the probability of bag A being selected to draw the balls is . Find the value of n.
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