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Give the definition of memoryless for a random variable X. (b) Show that if X is...

Give the definition of memoryless for a random variable X. (b) Show that if X is an exponential random variable with parameter λ, then X is memoryless. (c) The life of the brakes on a car is exponentially distributed with mean 50,000 miles. What is that probability that a car gets at least 70,000 miles from a set of brakes if it already has 50,000 miles?

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