Definition The term\language\ normally refers to human speech, spoken or written. Language forms the basis of communication between all human beings

Market Portfolio-Portfolio of all assets in the economy. In practice a broad stock marke index, such as the S&P Composite, is used to represent the market. Beta- Sensitivity of a stock's return to the return on the market portfolio

The milks of all mammals contain lipids but the concentration varies widely between species from c. 2% to greater than 50%(Table 3. 1). The principal function of dietary lipids is to serve as a source of energy for the neonate and the fat content in milk largely reflects the energy requirements of the species, e.g. land animals indigenous to cold environments and marine

Milk is a fluid secreted by the female of all mamalian species, of which there are more than 4000, for the primary function of meeting the complete nutritional requirements of the neonate of the species. In addition, milk serves several physiological functions for the neonate. Most of the non- nutritional functions of milk are served by proteins and peptides which

This is an open-notes exam However, calculators are not allowed You may assume all results from lecture the notes, problem sets and recitation Write your solutions in the space provided. If you need more space, write on the back of the sheet containing the problem Be neat and write legibly. You will be

Due: Monday, April 11 at 9 PM Problem 1. An electronic toy displays a 4x4 grid of colored squares. At all times, four are red, four are green, four are blue, and four are yellow. For example, here is one possible configuration:

1 Bipartite Graphs Graphs that are 2-colorable are important enough to merit a special name; they are called bipartite graphs. Suppose that G is bipartite. Then we can color every vertex in G ei ther black or white so that adjacent vertices get different colors. Then we can put all the

What Is the Question of the Chapter? Suppose we observe a collection of a consumer's choices, can we discover his/her preference? Is this possible at all?fso, under what conditions is this possible? (This is the reverse question of finding the optimal choice)

1 The Number-Picking Game Here is a game that you and I could play that reveals a strange property of expectation. 3, First, you think of a probability density function on the natural numbers. Your distri- bution can be absolutely anything you like. For example, you might choose a uniform distribution on 1, 2, ... 6, like the outcome of a fair die roll. Or you might choose a bi- probability, provided that,...,n. You can even give every natural number a non-zero nomial distribution on 0, 1 he sum of all probabilities is 1

All the questions are from Plummer, Chapter 10, p.679-680, which was handed out in class 1)Question 10.3 2) Question 10.4 3)Question 10.5 4) Question 10.6