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Suppose that 20,000 married adults in a country were randomly surveyed as to the number of children they have. The results are compiled and are used as theoretical probabilities. LetX = the number of children married people have. x P(x) xP(x) 0 0.10 1 0.25 2 0.30 3 4 0.10 5 0.05 6 (or more) 0.05 (a) Find the probability that a married adult has three children. (Enter your answer to two decimal places.) I: (b) In words, what does the expected value in this example represent? 0 the number of children married adults in the country have O the number of children adults in the country have 0 the average number of children married adults in the country have 0 the average number of children adults in the country have (c) Find the expected value. (Enter your answer to two decimal place.) :] children (d) Is it more likely that a married adult will have two to three children or four to six children? How do you know? 0 it is more likely to have two to three children, with p = 0.45 0 it is more likely to have two to three children, with p = 0.3 0 it is more likely to have four to six children, with p = 0.1 0 it is more likely to have four to six children, with p = 0.8 0 it is more likely to have four to six children, with p = 0.2 A school newspaper reporter decides to randomly survey 20 students to see if they will attend Tet (Vietnamese New Year) festivities this year. Based on past years, she knows that 19% of students attend Tet festivities. We are interested in the number of students who will attend the festivities. In words, dene the Random Variable X. 0 the number of students in the school 0 the school newspaper O the number of students that will attend Tet O the types of festivities offered at the school List the values that X may take on. O x: o, 1, 2, .. Ox=1,2,3,.. ., 20 ., 20 O x=o,1,2,..., 19 Ox=1,2,3,...,19 Give the distribution of X. x~(, ) How many of the 20 students do we expect to attend the festivities? (Round your answer to the nearest whole number.) student(s) Find the probability that at most 4 students will attend. (Round your answer to four decimal places.) Find the probability that more than 3 students will attend. (Round your answer to four decimal places.)