In: Statistics and Probability
Katie has 5 marbles in her book bag 3 Yellow (Y1, Y2, Y3) and 2 black marbles (B1 and B2). She is doing an experiment for her class where she picks one marble at a time randomly from her book bag. Katie stops picking marbles when she selects a black marble.
1. show the possible outcomes in a tree diagram
2. what are the possible values of the discrete random variable (x) that represent the total number of yellow marbles that can be picked before a black marble can be picked. Make probability distribution for each value and all components that are needed for each value.