Aasir can invest his money in risk-free asset and/or in a fund F. The risk-free asset provides a guaranteed return of 4%. The fund F provides expected return of 12% with
volatility of 25%. If Aasir wants to limit his risk to no more than 20%, what is the highest expected return he can earn? If Aasir wants an expected return of at least 16%, what is the
minimum possible volatility of his portfolio?
In: Finance
This project requires the student to create a record (in C++ called a struct). The record should contain several fields of different data types and should allow the user to search the records to find the student with the highest grade. In this project the student should gain an understanding of the nature of records with multiple data types, how to save the records, search the records and retrieve them. The special problems of maintaining records of multiple data types on a digital machine will be seen.
In: Computer Science
Match the following aqueous solutions with the appropriate
letter from the column on the right. Assume complete dissociation
of electrolytes.
| 1. | 0.11 m | Fe(CH3COO)3 | A. | Lowest freezing point | ||
| 2. | 7.8×10-2 m | Fe2(SO4)3 | B. | Second lowest freezing point | ||
| 3. | 0.18 m | NaI | C. | Third lowest freezing point | ||
| 4. | 0.33 m | Sucrose (nonelectrolyte) | D. | Highest freezing point |
In: Chemistry
1)Motivation is a hypothetical construct about a person’s internal characteristics.
| True |
|
False 2) Job satisfaction is positively correlated with absenteeism.
|
In: Psychology
If quicksort is so quick, why bother with anything else? If bubble sort is so bad, why even mention it? For that matter, why are there so many different sorting algorithms? Your task is to investigate these and other questions in relation to the algorithms selection sort, insertion sort, merge sort, and quicksort.
Write a set of guidelines for each algorithm to help someone decide which one would be most appropriate for a particular situation. Include in your guidelines a description of the advantages and disadvantages, together with an indication as to why those characteristics apply, and an explanation of the running cost (in Big-O notation). Your goal is to provide enough information so that someone unfamiliar with the inner workings of each algorithm would be able to decide which one is right for them.
For example, if someone was considering using counting sort to sort a collection of values then the following brief information could help them decide if it was appropriate or not.
|
Algorithm |
Counting Sort |
|
Description |
Count the number of times each different value appears, then overwrite the values in lowest-to-highest order, with each value repeated according to the counts. |
|
Advantages |
Usually faster than any of the comparison-based sorts. • Algorithmic complexity is O(n + k), irrespective of the data order, where n is the list length and k is the number of distinct values that might occur. Typical case is where k is much less than n, in which case the cost is O(n). • Simple to code |
|
Disadvantages |
• Only usable where the values to be sorted can be used to index an array of value counts, which usually means the values are integers over a small range. In other words, the algorithm cannot be used to sort common non-integral values such as strings and floats, and it is inappropriate even for integers if the range of values is large. • Requires an auxiliary array (to store the counts) of size equal to the number of different possible sort values. If the range of values is large, the cost of allocating and maintaining this array could be significant. |
|
When to use… |
If your circumstances allow, it is hard to beat this algorithm, but because it places very tight restrictions on the nature of the data to sort, you will often have to choose another approach. |
In: Computer Science
Superior Consulting is a firm that specializes in developing computerized decision support systems for manufacturing companies. They currently operate offices in Chicago, Charlotte, Pittsburgh and Houston. They are considering opening new offices in one or more cities including: Atlanta, Boston, Denver, Detroit, Miami, St. Louis and Washington DC. They have $14 million available for this purpose. The executive team ranked the prospective cities from 7 to 1, with 7 being the highest preference.
Due to the specialized nature of their work, they must staff any new offices with a minimum number of its employees from its existing offices. However, it has a limited number of employees available to transfer to any new offices. See the tables below for the costs for opening a new office, the start-up staffing needs, preference and available number of employees from existing offices.
|
Prospective Office |
Setup Cost (1,000,000's) |
Staffing Needs (employees) |
Preference (1 is lowest) |
|
Atlanta |
$1.7 |
9 |
5 |
|
Boston |
$3.6 |
14 |
4 |
|
Denver |
$2.1 |
8 |
3 |
|
Detroit |
$2.5 |
12 |
1 |
|
Miami |
$3.1 |
11 |
6 |
|
St. Louis |
$2.7 |
7 |
2 |
|
Washington, DC |
$4.1 |
18 |
7 |
|
Existing Office |
Available Employees |
|
Chicago |
24 |
|
Charlotte |
19 |
|
Pittsburgh |
16 |
|
Houston |
21 |
The HR team developed the following cost per employee (in 1,000’s) to transfer them from an existing office to a prospective new office.
|
Cost to move employee to new offices (in 1,000's) |
|||||||
|
Existing Office |
Atlanta |
Boston |
Denver |
Detroit |
Miami |
St. Louis |
Washington, DC |
|
Chicago |
$19 |
$32 |
$27 |
$14 |
$23 |
$14 |
$41 |
|
Charlotte |
$14 |
$47 |
$31 |
$28 |
$35 |
$18 |
$53 |
|
Pittsburgh |
$16 |
$39 |
$26 |
$23 |
$31 |
$19 |
$48 |
|
Houston |
$22 |
$26 |
$21 |
$18 |
$28 |
$24 |
$43 |
In addition, the company would like at least one new office in the Midwest (Detroit and/or St. Louis) and one new office in the Southeast (Atlanta and/or Miami.)
Formulate and solve their problem using Excel and Solver.
In: Advanced Math
In a gambling game, on every play, there is a 0.1 probability that you win $7 and a 0.9 probability that you lose $1. What is the expected value of this game?
In: Statistics and Probability
Flip a coin 30 times and document the result of each toss. Then provide both the empirical and theoretical probability distributions. Use the appropriate expression for probability.
In: Statistics and Probability
In: Statistics and Probability
(a) Find the exact probability of exactly 55 heads in 100 tosses of a coin.
(b) Estimate this probability using normal distribution. Compare your answers.
In: Math