Concept explainers
Let X equal the number of flips of a fair coin that are required to observe heads—tails on consecutive flips.
(a) Find the pmf of X. HINE Draw a tree diagram.
(b) Show that the mgf of X is
(c) Use the mgf to find the values of (I) the mean and (ii) the variance of X.
(d) Find the values of (I)
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Probability and Statistical Inference (9th Edition)
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