2. An urn contains 4 red, 4 blue, 4 green marbles. Three marbles are drawn w (put marble back in urn before drawing the next one]. Let X be the random variable representing the number of green marbles drawn. Compute the probabilities: (a) Pr (:4 = 0) ('3) PI' (X = 1) (c) Pr 0: = 3) 4. Let the random variable X represent the number of aces observed. Compute the probabiIity Pr (X = 4) when 5 cards are dealt on the table (from a deck of standard playing cards). 6. Let the random variable X represent the number of sixes (6) observed. Compute the probability Pr [X = 4) when: (a) Five dice are tossed (at once) (b) One die is tossed 5 times 8. Thirteen cards are dealt on the table from a deck of standard playing cards. Compute the probability: Pr (2 aces) 10. There are different ways to compute averages. For example, a weighted average may be used to compute grades in a class, where different types of assignments are valued differently. Determine the formula to compute the grade of our class, based on our syllabus. l