Observe 100 independent flips of a fair coin. Let X equal the number of heads in the

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Observe 100 independent flips of a fair coin. Let X equal the number of heads in the first 75 flips. Let Y equal the number of heads in the remaining 25 flips. Find Px(x) and PY(y). Are X and Y independent? Find Px,y(x,y).
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