No. 1 [6 Marks] Suppose you have a box with 3 blue marbles, 4 red marbles. You are going to pull out one marble randomly, record its color, do not put it back in the box and draw another marble. Answer the following questions. a) Are the two trials statistically independent or statistically dependent events? Give reason(s). [0.5] b) What are the random variable with their values in this experiment? [1] c) Make a tree diagram for this random experiment. [0.5] d) What is the probability of pulling out a blue marble in the second trial? [0.5] e) What is the probability of pulling out a red marble in the second trial? [0.5] f) Tabulate frequency and probability distribution of all the possible random variables. [1] g) Draw frequency and probability distribution of all the possible the random variable using bar graphs, pie charts, area graphs and histograms [2]