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An experiment consists of rolling a pair of (six-sided) dice and observing the sum. This experiment is repeated until the sum of 7 is observed at which point the experiment stops. Let be the random variable which represents the number of times the experiment is repeated. That is, if the first occurrence of {sum=7} happens on the 5th roll of the dice, then N=5

(a) Find the probability mass function for the random variable . That is, find

(b) What is the probability that the experiment proceeds for at least 4 rolls? That is,

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