QUESTION 1 (0.5 POINTS) A random variable T follows Exponential distribution. Which of the following expression shows the Memoryless property of Exponential Distribution (choose the most appropriate answer): a). P(T > t + s| T > s) = P(T > t) b). P(T < t + s| T > s) = P(T < t) c). P(T < t + s| T > s) = P(T < s) d). Both a) and b) QUESTION 2 (0.5 POINTS) The number of miles that a particular car can run before its battery wears out is exponentially distributed with an average of 5,000 miles. The owner of the car needs to take a 5000-mile trip. What is the probability that he will be able to complete the trip without having to replace the car battery? a). 0.368 b). 0.135 c). 0.632 d).1