Suppose that a fair coin is tossed repeatedly and let n be

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Suppose that a fair coin is tossed repeatedly and let N be the number of tosses until the rst heads is obtained.

(a) Find the probability mass function of N.

(b) Calculate the probability that N is greater than 2.

(c) Calculate the mean and the variance of N.

(d) Find the moment generating function of N.

Reference no: EM13641824

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