Part B: Communication | 1. Which of the following experiments is an example of a uniform probability distribution? Briefly explain how you came to that conclusion: i). rolling a sum on a pair of dice ii). Drawing a card from a shuffled deck of card 2. Briefly explain why when calculating probability for binomial distributions and using the formula P(x) = nCxp xq n-x , the events must be independent. Part C: Application 1. You have determined that if you toss a paper ball into the recycling bin at the front of that class that you will get it into the recycling bin about 64% of the time. a) What is the probability that you will get the ball in exactly 3 times in your first 8 tries? b) How many paper balls do you expect to get into the recycling bin in your first 8 trials? 2. A bag contains two red, five black, and four green marbles. Four marbles are selected at random, without replacement. a) Calculate the probability that exactly two are black marbles. b) What is the probability that at least one of the marbles is green