Probability and Statistical Inference 9
(Michigan Mathematics Prize Competition, 1992, Part II) From the set \(\{1,2,3, \ldots, n\}\), \(k\) distinct integers are selected at random and arranged in numerical order (from lowest to highest). Let \(P(i, r, k, n)\) denote the probability that integer \(i\) is in position \(r\). For example, ob

Sears and Zemansky's University Physics with Modern Physics 13
On a winter day in Maine, a warehouse worker is shoving boxes up a rough plank inclined at an angle above the horizontal. The plank is partially covered with ice, with more ice near the bottom of the plank than near the top, so that the coefficient of friction increases with the distance x along the

Fundamentals of Statistics 4
Flight Time The following data represent the flight time (in minutes) of a random sample of seven flights from Las Vegas, Nevada, to Newark, New Jersey, on Continental Airlines. 282, 270, 260, 266, 257, 260, 267 Compute the mean, median, and mode flight time.

Principles of Economics 1
Why is the demand curve with constant unitary elasticity concave?

Marketing Management 5
When you get your hair cut, what's the "core" of what you buy vs. what are the "value-addeds" in the purchase? What's a consultant's core vs. value-addeds? What are the core vs. value-addeds for music?

Plant Systematics 3
What is a primary tenet of phylogenetic systematics with respect to apomorphies?

Principles of Economics 9
Suppose Americans decide to save more of their incomes. If banks lend this extra saving to businesses, which use the funds to build new factories, how might this lead to faster growth in productivity? Who do you suppose benefits from the higher productivity? Is society getting a free lunch?