STAT 400 Lecture 1: Stat400 homework 3.2 number 26 key

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26: possible x values are 1, 2, 3, . P(1) = p(x = 1 ) = p(return home after just one visit) = 3. P(2) = p(x = 2) = p(second visit and then return home) = P(3) = p(x = 3) = p(three visits and then return home) = ( ) 0 otherwise: the number of straight line segments is y = x + 1 (since the last segment traversed returns alvie to o), so as in a. , yp. 0 otherwise: possible z values are 0, 1, 2, 3 , . Let m represent a visit to a male friend, and f represent a visit to a female friend. p(0) = p(mo) = 6 p(1) = p(exactly one visit to a female) = p(fo) + p(fmo) + p(mfo) + p(mfmo) [initially visiting a female] [initially visiting a male] p(2) = p(exactly two visits to a female) = p(fmfo) + p(fmfmo) + p(mfmfo) + p(mfmfmo)

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