Mathematics, 03.03.2022 03:30, Arealbot

5. A non-negative continuous random variable X is said to be memoryless if P(X > s + t | X > t) = P(X > s) , for all s, t ≥ 0. The probability density function of the exponential distribution with the parameter β is given by, f(x) = 1 β e −x β , x ≥ 0 Show that the exponential random variable is memoryless.

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5. A non-negative continuous random variable X is said to be memoryless if P(X > s + t | X > t...