Please answer the following question:

Exercise 1 {Probability computations}. Suppose that we want to model the probability of failure of a car1 and that there are three types of failures that we denote by .413 and C. Assume that we model this experiment with a probability space ERA. if"). so in particular A1 311? E A C "PH-l}. Assume further that: tum) : 9.12, as) 2 am. ego) : 0.05. [Pu-{A u s) = 0.13, am u C) = {1.14. ensue} = [1.1, and MAanC} 2 am. 1. [1 pt) Compute the probability that failure A does not occur? 2. [1 pt) Compute the probability that failures A and B occur? 3. (1 pt} Compute the probability that: failure A occur and failure B occur and failure S does not occur? 4. (1 pt} 1What is the probability that at least one failure occur