You will not actually be collecting any new data for Parts 2 and 3. You will be finding probabilities associated with specific numbers of trials of the experiment stated. (4 points) Part 2: Binomial Formula (n=3) A. Using the correct formula and showing your calculations, x P(x) create a table as noted here for three independent trials. ( x is the number of successes in 3 trials.) 0 S x 5 3. O Calculations: 1 2 3 B. What are the two criteria for a valid probability distribution? Use them to verify that your probability distribution from part A is valid. Check the sum of your own probabilities. (1) (2) C. Find the mean of the probability distribution from part A using two different methods (one from Section 5.1 and one from Section 5.3). Show your work. (1) (2)