29b) What is the probability that A and B support funding C opposes it (SSO) ? ( Do not round) 29c) what is the probability of OOS? ( do not round)29d) what is the probability any two oppose and one supports? ( do not round)

28. Weary of the low turnout in student elections, a college administration decides to choose a simple random sample of three students to form an advisory board that represents student opinion. Suppose that 40% of all students oppose the use of student fees to fund student interest groups, and that the opinions of the three students on the board are independent. Then the probability is 0.4 that each opposes the funding of interest groups. Let's call the three students A, B, and C, and "S" stands for support and "O" stands for oppose. a) Create a tree diagram depicting the sample space for Support (S) and Oppose (O) b) How many combinations of opinions can be held by students A, B, and C? 29. Weary of the low turnout in student elections, a college administration decides to choose a simple random sample of three students to form an advisory board that represents student opinion. Suppose that 40% of all students oppose the use of student fees to fund student interest groups, and that the opinions of the three students on the board are independent. Then the probability is 0.4 that each opposes the funding of interest groups. Let's call the three students A, B, and C, and "S" stands for support and "O" stands for oppose. Let X be the number of student representatives who oppose the funding of interest groups. The following table represents the distribution of X. Calculate the missing probabilities. (Do not round.) X 0 2 3 P(X) 0.064