1. {5 points) A device uses two AA batteries which provide from [I to 1.5 volts. The device is functional if the sum of the two voltages is at least 2 volts. Consider the following events: I A: the device is functional. I B: the two batteries have the same voltage a C: the device is not functional and it needs at least 1 volt to become functional. Provide answers to the following questions: a. Dene a sample space S for the experiment as a set of ordered pairs that makes it possible for you to express the four sets above as events. Draw a graph to illustrate the sample space S and each of the events 51.3.0. b. Express each of the events 11,3. C as sets of ordered pairs that are subsets of 5'. That is1 express each event above in the following format: {(92ij such that } c. Express the following set in terms of 11,3. C: {[s,y)::c=yandl~=:m+ya:2}