Show that a greedy algorithm that schedules talks in a

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

Mathematical Statistics with Applications 7
Applet Exercise 1. Use the applet Chi-Square Probabilities and Quantiles to find \(P[Y>E(Y)]\) when Y has \(\mathrm{X}^{2}\) distributions with 10, 40, and 80 df. 2. What did you notice about \(P[Y>E(Y)]\) as the number of degrees of freedom increases as in part (a)? 3. How does what you observed i

Organic Chemistry 7
Determine the degree of unsaturation for the hydrocarbons with the following molecular formulas: a. \(\mathrm{C}_{10} \mathrm{H}_{16}\) b. \(\mathrm{C}_{20} \mathrm{H}_{34}\) c. \(\mathrm{C}_{8} \mathrm{H}_{16}\) d. \(\mathrm{C}_{12} \mathrm{H}_{20}\) e. \(\mathrm{C}_{40} \mathrm{H}_{56}\)

Biology 8
Which process in the nephron is least selective? a. filtration d. secretion b. reabsorption e. salt pumping by the loop of Henle c. active transport

Anatomy & Physiology 1
Adenosine triphosphate (ATP) is an important molecule because it ________. a. is the result of catabolism b. release energy in uncontrolled bursts c. stores energy for use by body cells d. All of the above

Chemistry: A Molecular Approach 3
Write balanced complete ionic and net ionic equations for each reaction. a. K2SO4(aq) + CaI2(aq) S CaSO4(s) + KI(aq) b. NH4Cl(aq) + NaOH(aq) S H2O(l) + NH3(g) + NaCl(aq) c. AgNO3(aq) + NaCl(aq) S AgCl(s) + NaNO3(aq) d. HC2H3O2(aq) + K2CO3(aq) S H2O(l) + CO2(g) + KC2H3O2(aq)

Biology for AP Courses
Which of the following are two examples of vestigial structures? a. gills in fish and parts of the throat in humans b. butterfly wings and dragonfly wings c. hind leg bones in whales and leaves on some cacti d. shark fins and dolphin fins

Biochemistry 9
In 1828, Whler was the first person to synthesize an organic compound (urea, from ammonium cyanate). How did this contribute, ultimately, to biochemistry?