Question: (b) The random variable X follows the geometric distribution with probability function: p(x) (1 - 7)-a form = 1, 2,... otherwise. i. Show that the

(b) The random variable X follows the geometric distribution with probability function: p(x) (1 - 7)-a form = 1, 2,... otherwise. i. Show that the above geometric distribution has the 'memoryless' property, such that: P(X > s+t| X > s) =P(X > t) for any positive integers s and t. (10 marks) ii. In words, briefly explain the practical implication of the memoryless property for the above geometric distribution
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