UBC: UBC WW09: Problem 23 (1 point) = Ka (x+6x+58) (****) (a) Find the interval of values for q with the property that (for an appropriate constant K) a random variable with probability density p(x) will have a well-defined mean but an undefined variance. Answer using interval notation, where {} denotes an empty interval. gel B Answer: The interval described above is (b) A certain random variable X has the probability density function p(x) = K2 (x+6x+58) . Find the following: K2= EX= Var[X] = Hint: For any random variable X and constant k, one has EX-k] EX-k and Var[X-k] = Var[X]. (Proving this is a worthwhile exercise in itself.)