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Score on last try: 0.5 of 1 pts. See Details for more. 8 Get a similar question You can retry this question below The three most popular options on a certain type of new car are a built-in GPS (A), a sunroof (B), and an automatic transmission (C). If 35% of all purchasers request A, 51% request B, 62% request C, 57% request A or B, 67% request A or C, 78% request B or C, and 80% request A or B or C, determine the probabilities of the following events. A. The next purchaser will request at least one of the features. 0.80 J O' B. The next purchaser will select none of the features. 0\" C. The next purchaser will request only an automatic transmission and not either of the other two options. E] D. The next purchaser will select exactly one of the three options. E] Question Help: 8 Message instructor Submit All Parts 2.3 Counting Techniques progresssaved Done (3, 115' El 5 Score: 0/3 0/3 answered 0 Question 1 " B 0/1 pt '0 3 3 19 G Details A certain composer wrote 8 symphonies, 6 piano concertos (music for piano and orchestra), and 34 piano sonatas (music for solo piano). a. How many ways are there to play first a symphony and and then a piano concerto? C] b. The manager of a radio station decides that on each successive evening (7 days a week), a symphony will be played followed by a piano concerto followed by a piano sonata. For how many nights could this be carried out before exactly the same program would have to be repeated? About how many years would this be? (Round to the nearest year). C] Question Help: 8 Message instructor Submit Question 0 Question 2 V E 0/1 pt '0 3 8 19 6) Details Consider a Little League team that has 13 players on its roster. a. How many ways are there to select 9 players for the starting lineup? :l b. How many ways are there to select 9 players for the starting lineup and a batting order for c. Suppose 4 of the 13 players are left-handed. How many ways are there to select 3 left- handed outfielders and have all other 6 positions occupied by right-handed players? [:1 Question Help: 8 Message instructor Submit Question A starting lineup in a basketball consists of two guards, two forwards, and a center. a. A certain college team has on its roster 2 centers, 5 guards, 5 forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? (Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as foward .) C] b. Now suppose the roster has 7 guards, 7 forwards. 4 centers, and 2 \"swing players" (X and Y) who can play either guard or forward. If 5 of the 20 players are randomly selected, what is the probability that they constitute a legimate starting lineup? C] (round your answer to 3 decimal places) Question Help: a Message instructor Submit All Parts The population of a particular country consists of three ethnic groups. Each individual belongs to one of the four major blood groups. The accompanying joint probability table gives the proportions of individuals in the various ethnic group-blood group combinations Blood Group AB 0.006 0.004 0.132 0.096 0.200 0.150 0.092 0.008 0.270 0.020 Suppose that an individual is randomly selected from the population, and define events A = {type A selected}, B = {type B selected}, and C = {ethnic group 1 selected}. 0.012 Ethnic Group a. Calculate the following: P(A) = 00 13(0) = P(An0) =:] b. Calculate the following and explain in context what each of these probabilities represent. P(A | C) : C] . (round to 3 decimal places). This re - resents Select an answer P(C | A) : C] (round to 3 decimal places). This re - resents Select an answer c. If the selected individual does not have type B blood, what is the probability that he or she is from ethnic group 3? C] (round to 3 decimal places) The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk. 2 5% Consider randomly selecting such a coffee purchaser. a. What is the probability that the individual purchased a medium cup? C] What is the probability that the individual purchased a cup of decaf? b. If we learn that the selected individual purchased a medium cup, what now is the probability that they chose decaf coffee? C] . (Round to 3 decimal places) Inter ret this robabilit . c. If we learn that the selected individual purchased decaf, what now is the probability that a medium was selected? C] . (round to 3 decimal places) Inte-ret this Irobabilit . Question Help: 8 Message instructor According to a recent publication, a 2010 study found that 8% of children younger than 18 in the United States have at least one food allergy. Among those with food allergies, about 41% had a history of severe reaction. a. If a child younger than than 18 is randomly selected, what is the probability that they have at least one food allergy and a history of severe reaction? :1 b. It was also reported that 31% of those with an allergy in fact are allergic to multiple foods. If a child younger than 18 is randomly selected, what is the probability that they are allergic to multiple foods? :1 Question Help: 8 Message instructor Submit All Parts