Mathematics, 14.10.2019 20:30 crystaldewar55C

Suppose that y is a random variable with a geometric distribution. show that a y p(y) = ∞ y=1 qy−1 p = 1. b p(y) p(y − 1) = q, for y = 2, 3, . . this ratio is less than 1, implying that the geometric probabilities are monotonically decreasing as a function of y. if y has a geometric distribution, what value of y is the most likely (has the highest probability)?

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