Question

1. Suppose you have five marbles in a bag, three green (G1, G2, G3) and two red (R1 and R2). You conduct an experiment where you continue to select colored marbles one at a time at random from the bag. You stop selecting marbles when you select a red marble. Without replacement.
   1. Display the possible outcomes in a tree diagram.
   2. Let x denote the discrete random variable that represents the total number of green marbles that can be selected before a red is selected. Based on part a, what are the possible values for x?
   3. Make a probability distribution that displays each value of x along with its corresponding probability P(x).
   4. Calculate the expected value μ=x×Px.
   5. Write sentence(s) that describe what exactly μ represents. Include units.

Answer 1