3) Facebook or Instagram? A December 2013 Pew Research Center poll of adults who use the Internet found that 71% of online adults use Facebook, 17% use Instagram, and 16% use both. (a) Construct a Venn diagram to present the outcomes of this chance process using the event F: uses Facebook and event I: uses Instagram. snog to say] jordone (b) Suppose we randomly select a person who responded to the poll. What's the probability that they use Facebook or Instagram?4) Sex and political party. In March 2015, 57% of voting members of the U.S. House of Representatives were Republicans and the rest were Democrats. Nineteen percent of the House members were women, and 36% of the House members were men who identified themselves as Democrats. (a) Construct a Venn diagram to present the outcomes of this chance process using the event M: is male and event D: is a Democrat. (b) Find P(M U D). (c) Find P(MC n DC). (d) Find P ( MC UD). 5) Mobile systems. The Pew Researcher Center ask a random sample of 2023 adult cell-phone owners from the United States Age their age and which type of cell phone they own: iPhone, Android, 18-34 35-54 55+ Total or other (including non-smartphones). The two-way table summarizes the data. Suppose we select one of the survey iPhone 69 17 127 467 Type respondents at random. Find the following probabilities. Include of cell Android 214 89 100 503 proper notation. phone Other 34 277 643 1054 (a) The person is not age 18 to 34 and does not own an iphone. Total 517 637 870 2024 (b) The person is age 18 to 34 or owns an iphone. (c) The person is 55+ and owns another type of phone. (d) The person is not 55+ and does own an iphone