#2) The following discrete probability distribution was created from data gathered by an online shopping site that sells gluten free cereal. # of items purchased, x Probability, P(x) 0 0.205 1 0.315 2 0.448 3 0.032 A) Show your work to find the Mean of the distribution. B) Show your work to find the Standard Deviation for the distribution. C) Thinking in terms of an online shopping website, give an example of something that could be discrete variable and something that could be a continuous variable. Justify your answer, convince me that you understand the difference between a continuous variable and a discrete variable. #3) Thirty-nine percent of U. S adults think that the government should help fight childhood obesity. You randomly select six U. S. adults. Find the probability that the number of U. S. adults who think that the government should help fight childhood obesity is: A) Exactly two. B) At least four. C) Less than three.