Computers in Schools Elementary and secondary schools were classified by the number of computers they had. Computers 1-10 11-20 21-50 51-100 100+ Schools 3453 2411 17,231 24,223 35,685 Send data to Excel 4 Choose one school at random. Find the probabilities of the following. Enter your answers as fractions or decimals rounded to 3 decimal places. Part 1 of 3 (a) 100 or fewer computers P(100 or fewer computers) =

Part I: Probability For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. 5. You are playing Scrabble and you draw seven tiles: M, A, T, C, H, E, S. You line them up in some random order on your tile rack (assume all orderings are equally likely). The events M, T, and S are defined as follows: M: The tiles M, A, T, H appear consecutively. T: The tile T appears exactly in the middle (fourth position). S: The tile S is either in the first position or in the final position. Calculate the probability of each event; that is, p(M), p(T), and p(S). 5.1 5.2 What is p(MIT)? 5.3 What is p(MIS)? 5.4 5.5 What is p(T|S)? Consider all pairs of events: (M,T), (M,S), and (T,S). Which pairs of events are independent and which pairs of events are not independent? Justify your answer.

The following tables show the make-up of students in a school's math club. Male Female Totals Freshmen 3 5 8 Sophomores 4 10 Juniors 7 5 12 Seniors 4 10 Totals 20 20 40 P(female I freshman)? 4 20

Kaolin is taking a multiple choice math test. Each question has seven presented answers, but only one is correct. If Kaolin guesses randomly for each of the nineteen questions the test has, determine the probability that Kaolin gets at most one question correct. A. 618719 B. 25719 C. (190) +(191)719 D 61825719 E. (61)(191)719