Question: The statement some days are snowy has 16 letters (treating different appearances of the same letter as distinct). Pick one of them uniformly at

The statement "some days are snowy" has 16 letters (treating different appearances of the same letter as distinct). Pick one of them uniformly at random (i.e. each with equal probability 1/16). Let X be the length of the word to which the letter which was chosen belongs. Determine the possible values that X may attain, and the probability mass function of X.
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