If your nominal wage rises faster than the price level, we can say your real wage has and the purchasing power of your income has . A. risen; risen B. fallen; risen C. fallen; fallen D. risen; fallen

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

True or false: a fitted model with more predictors will necessarily have a lower training set error than a model with fewer predictors.

If a government accumulates chronic budget deficits over time, what's one possible result? a. a collective action problem b. a debt crisis c. regulatory capture d. an unfunded liability