A survey of athletes at a high school is conducted, and the following facts are discovered: 40% of the athletes are football players, 2096 are basketball players, and 996 of the athletes play both football and basketball. An athlete is Chosen at random from the high school: what is the probability that the athlete is either a football player or a basketball player? 95 (Please enter your answer as a percent) Candela buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 5 oatmeal raisin cookies. What is the probability that Candela randomly selects a peanut butter cookie from the bag, eats it, then randomly selects another peanut butter cookie? {Round your answer to 4 decimal places.) Carmen buys a bag of cookies that contains 7 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 6 oatmeal cookies. What is the probability that Carmen randomly selects a chocolate chip cookie from the bag, eats it, then randomly selects a sugar cookie? Probability = (Round your answer to 4 decimal places.) A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy,r was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below. better same worse Republican l 38 loci 44 Democrat | 12 37 13? none l 21 9E3 118 If we randomly select one of the adults who participated in this study, compute: [round to four decimal places) a. PiRepublican} = b. P[worse) = c. Pworsel Republican] = d. P[Republican | worse] = e. PlRepublican and worse) = A 2010 Pew Research poll asked 1,306 Americans "From what you've read and heard, is there sol'd evidence that the average temperature on earth has been getting warmer over the past few decades, or aot?". The table below shows the distribution of responses by party and ideologyJ where the counts have been replaced with relative frequencies. non-t know (or refuse: Total Conservative Republican 0.02 0.33 Madeib Republican 0.01 0.13 Medic-ans Democrat 0.02 0.34 Liberal Democrat 0.01 0.2 0.06 1 a) Are believing that the earth is warming and being a liberal Democrat mutually exclusive? ,-. '- i mutually exclusive '1 3 not mutually exclusive b} What is the probability that a randomly chosen respondent believes the earth is warming or is a liberal Democrat? {please round to four decimal places} :1 What is the probability that a randomly chosen respondent believes the earth is warming given that he is a liberal Democrat? [please round to four decimal places} d} What is the probability that a randomly chosen respondent believes the earth is warming given that he is a conservative Republican? [please round to four decimal places} e} Does it appear that whether or not a respondent believes the earth is warming is independent of their party ideology? belief in global warming and party ideology are dependent belief in global warming and party ideology are independent 1'} What is the probability that a randomly chosen respondent is a moderateiliberal Republican given that he does not believe that the earth is warming? [please round to four decimal places) A manager gathers some demographic information from the store's customers. The following chart summarizes the agerelated information that was collected: Age Number of Customers a 20 98 20-29 56 30-39 92 40-49 93 50-59 82 2'3 60 63 One customer is chosen at random for a prize giveaway. Please enter reduced fractions What is the probability that the customer is at least 40 but no older than 60?| | What is the probability that the customer is either older than 50 or younger than 30?| I What is the probability that the customer is at least 50? A special deck of cards has 8 green cards , 11 blue cards , and 5 red cards . When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin. a. How many elements are there in the sample space? b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss. P(A) = Round your answer to 4 decimal places. c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive? O No, they are not Mutually Exclusive O Yes, they are Mutually Exclusive d. Let C be the event that a green or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive? O No, they are not Mutually Exclusive O Yes, they are Mutually Exclusive