In: Statistics and Probability
(a) 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?