Let N have a Binom100 14 distribution Given N n flip a fair

Let N have a Binom(100, 1/4) distribution. Given N = n, flip a fair coin n times, and let X be the number of heads observed. What is the distribution of X given N = n. Be sure to provide a range and a proper conditional probability mass function. Find the random variable E(X|N). Using part (b), compute E(X). (If you do not use part (b), and instead just give an educated guess, you will receive zero points.)

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