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4) If the mean score on a test was a 71% and the standard deviation was 8%. what score would put someone in the 35th percentile? (6 pts.) 5) If the probability of winning on a scratch off ticket is 7% and you decide to buy some tickets. (3 pts each) a) What is the probability that you win on 2 out of 16 tickets? b) What is the probability that if you purchase 100 scratch off tickets that less than 9 of the tickets are winners? 6) What is the probability that if you randomly select a letter from the word \"STATESTJC? and then roll a 6-sided die, that you get a vowel and a number greater than 4? (3 pts) 11) At a school there are 100 students in the Senior Class and: 8 Students play Baseball, Basketball and Football 16 Students play Baseball and Football 18 Students play Baseball and Basketball 15 Students play Basketball and Football 34 Students play Baseball 38 Students play Football 40 Students play Basketball . Draw a Venn diagram to represent this scenario, make sure to include students that do not play any sports. (4 pts) 0 What is the probability that you randomly select someone who plays exactly two of the sports? (2 pts) . What is the probability that you randomly select one student and they do not play any of these sports? (2 pts) 0 What is the probability that if you select two students, they both play a_li three sports? (3 pts)