1. Use the following table showing political party affiliation of each of 66 US Senate members in Jan 2017, and when they are up for re-election: (Source: www.senate.gov) (Report your answers as fractions or as decimal values rounded to the nearest hundredth.) Find the probability that a single randomly selected senator is: Up for Reelection Democ Republic Oth Tot rat an er al Nov 2018 23 8 2 33 Nov 2020 11 22 0 33 Total 34 30 2 66 (a) Republican or is up for re-election in November 2020: (b) Republican and is up for re-election in November 2020: (c) up for re-election in November 2020 given that the selected Senator is Republican: 2. Fifteen people work in an office. 8 are women and 7 are men. The flu virus is coming. (a) In how many ways can the flu virus randomly select 9 workers out of the 15 to get sick? Show work. (b) In how many ways can the flu choose 9 workers, if 4 must be women and 5 must be men? Show work. (c) If the flu virus randomly selects 9 workers from the 15 in the office, what is the probability that 5 are men and 4 are women? Round answer to nearest ten-thousandth (4 places after decimal). Show work. 3. If $200,000 is to be saved over 25 years, how much should be deposited monthly if the investment earns 6% compounded monthly? Show work. A. $315.45 B. $260.87 C. $1288.60 D. $288.60 4. According to the US Census Bureau, "United States Census 2010", 33 million Americans were age 65 or older in 1995; an amount which climbed to 40 million in 2010. (a) Which of the following linear equations could be used to predict number of Americans age 65 or older (in millions) \"y\" in a given year \"x\