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Suppose that P(Yi|Ti) Tir i = 1,...,n, where {} are independent from g(.). Explain why Y has a bin(n, p) distribution unconditionally but not

 

Suppose that P(Yi|Ti) Tir i = 1,...,n, where {} are independent from g(.). Explain why Y has a bin(n, p) distribution unconditionally but not conditionally on {i}. (Hint: In each case, is Y a sum of independent, identical Bernoulli trials?) =

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