Please answer the question clearly
6. Suppose that you performed an experiment in which all the...
6. Suppose that you performed an experiment in which all the outcomes were equally likely. Use the classical interpretation of probability from Theorem 2 to explain why Theorem 4 is true. 7. A student is randomly selected from a class where 35% of the class is left-handed and 50% are sophomores. We further know that 5% of the class consists of left-handed sophomores. (a) What is the probability of selecting a student is either left handed OR a sophomore? (b) What is the probability of selecting a right-handed sophomore? 8. Refer to the figure below to show that P(An Bn C) = P(A) × P(B) × P(C) does not necessarily imply that A, B, and C are all pairwise independent. See page 44 of the textbook for more details of pairwise independence 0.24 0.06 0.18 0.24 0.06 0.14 0.06 0.02