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02-06-2023
Mathematics

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Let X equal the number of flips of a fair coin that are required to observe the same face on consecutive flips (a) Find the pmf of X. Hint: Draw a tree diagram. (b) Find the moment-generating function of X. (c) Use the mgf to find the values of (i) the mean and (ii) the variance of X. (d) Find the values of (i) P(X s 3), (ii) P(X 2 5), and (ii) P(X 3).

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