If two events A and B are such that Pr(A) is not zero and Pr(B) is not zero, what combinations of independent (I), not independent (NI), mutually exclusive (M), and not mutually exclusive (NM) are permissible? In other words, which of the four combinations (I, M), (NI, M), (I, NM), and (NI, NM) are permissible? Construct an example for those combinations that are permissible.

Uppose stanley's office supply purchases 50,000 boxes of pens every year. ordering costs are $100 per order and carrying costs are $0.40 per box. moreover, management has determined that the eoq is 5,000 boxes. the vendor now offers a quantity discount of $0.20 per box if the company buys pens in order sizes of 10,000 boxes. determine the before-tax benefit or loss of accepting the quantity discount. (assume the carrying cost remains at $0.40 per box whether or not the discount is taken.)

Every 10 years, the federal government sponsors a national survey of health and health practices (nhanes). one question in the survey asks participants to rate their overall health using a 5-point rating scale. what is the scale of measurement used for this question? ratio ordinal interval nominal

As sales exceed the break‑even point, a high contribution‑margin percentage (a) increases profits faster than does a low contribution-margin percentage (b) increases profits at the same rate as a low contribution-margin percentage (c) decreases profits at the same rate as a low contribution-margin percentage (d) increases profits slower than does a low contribution-margin percentage