2. [6] Suppose that machine breakdowns occur according to a Poisson process with 7L. = 0.2 per day. This also means that the time between machine breakdowns is Exponentially distributed with 7L = 0.2 per day. a. Let Y represent the time between machine breakdowns. What is P[Y > ECO)? [3] b. Now answer the question in part a. using the Poisson distribution. In this case, you can let X represent the number of machine breakdowns over the appropriate time period. [3] Note: You should get the same answer as in part a