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SOLVED: Question: A binary string of length 4 is chosen uniformly atrandom. Let Y and Z be random variables sothat Y is the total number of 0s in the stringand Z is the number of 0s in the first three bits.(i) What is Pr(Y=2)?(ii) What is Pr(Z is even)?(iii) What is Pr(Y=2 and Z is even)?(iv) Are the events "Y=2” and "Z is even”independent?(v) Are Y and Z independent randomvariables?
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