5.a)Suppose you have three coins in a bag: the first coin is fair, with prob-ability of HEAD (H) equals to that of TAIL (T), i.e., P(X = H|M1) = P(X = T|M1), whereX is a binary random variable representing HEAD or TAIL. The second is a loaded coin withP(X =takes a coin out of the bag at random and flips it. When it lands, you observe that the side ofthe coin facing up is HEAD. What is the probabilities that this is the first, second and thirdcoin? Hint: You may assume the three coins are equal likely to be selected from the bag, i.e.,P(M1) = P(M2) = P(M3) = , and you need to calculate P(M||X = H), P(M2|X = H) andP(M3|X = H).H|M2) = 0.8. The third is also a loaded coin with P(X =Н Мз) — 0.2. Your friend6)What if we don't know the probabilities of HEAD for each coin? Design an iterativealgorithm using pseudo-code to estimate these probabilities.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In experiment of flipping two coins, each coin has two faces: Head and Tail. Each face is being equally likely to be drawn. If two random variables X and Y are defined as X(s) = Number of Heads appeared on both coins Y(s) = Number of Tails appeared on both coins The value of pxy (2,0) is 00.5 00 01 00.25
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