When developing financial statement forecasts, analysts should most likely:

a) Develop possibilities relying exclusively on the results of financial analysis

b) Use the results of financial analysis, analysis of other information, and judgement

c) Aim to develop extremely precise forecasts using the results of financial analysis

d) Not consider information published by other analysts

(1) Let f : [n] r [n] be a permutation. Axed point of f is an element x E [n] such that f(x) = x. Now consider random permutations of [n] and let X be the random variable which represents the number of xed points of a given permutation. {a} What is the probability that X = 0? {b} What is the probability thatX = n 2? (c) What is the probability that X = n 1? {d} What is the expectation of X? (Hint: As usual, express X as the sum of wellchosen indicator variables and use the linearity of expectation.) (e) Let tk be the number of permutations of [n] that have exactly I: fixed points. Prove that 23:\" ktk = n!. (Hint: Use parts {aHd) of the problem and consider two different expressions for E 00.) Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. Is the number of fish caught during a fishing tournament a discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable. O B. It is a discrete random variable O C. It is not a random variable b. Is the number of textbook authors now sitting at a computer a discrete random variable, a continuous random vanable, or not a random variable? O A. It is a continuous random variable O B. It is a discrete random variable O C. It is not a random variable c. Is the ~NR.2 a discrete random variable, a continuous random variable, or not a random variable? O A. It is a continuous random variable, Q B. It is a discrete random variable O C. It is not a random variableList two unbiased estimators and their corresponding parameters. (Select all that apply.) o is an unbiased estimator for ox p is an unbiased estimator for p u is an unbiased estimator for x p is an unbiased estimator for p O x is an unbiased estimator for u O o- is an unbiased estimator for o