An experiment consists of randomly selecting one letter from the word COMPUTER 1. Find the set of all possible outcomes, the sample space, for this experiment. Separate each outcome with a comma. S = { 2. Events are subsets of the sample space S. Find the following events using the sample space generated in 1. a. Let V be the event that a vowel is selected. V = b. Let X be the event that a "T" is selected. X = { c. Let Y be the event that a "U" is selected. Y= d. How many total events are there? 3. Notice that some of the events above contained exactly one outcome and some contained more than one outcome. A simple event is an event that consists of exactly one sample point or outcome. a. How many total simple events are there for this experiment? List all of these simple events. b. Can events X and Y occur at the same time? c. Are X and Y mutually exclusive events? All simple events are mutually exclusive A uniform sample space is a sample space in which all outcomes are equally likely