Suppose we flip a fair coin repeatedly let xi equal 1 if, Basic Statistics

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Suppose we flip a fair coin repeatedly let xi equal 1 if

Suppose we flip a fair coin repeatedly. Let Xi equal 1 if flip i was heads (H) and 0 otherwise. Let N denote the number of flips needed until H has occurred 100 times. Is N independent of the random sequence X1, X2,...? Define Y = X1+···+ XN. Is Y an ordinary random sum of random variables? What is the PMF of Y?

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