Create a program using Monte Carlo method wherein computing the probability of the 2 drunk men starting at the origin will meet together after 30 steps, and the probability that they are n steps away from each other.
After listening to all the videos below, Write 3 pages (font 12, double spacing) to include first that
1) Summaries how each of the panelist are using Probability in their area of expertise for the video -Wizard of Odds and then
2) how probability could be useful in your area of major here at DePaul. Make sure to mention types of probabilities you have learned, simple, compound, conditional probabilities and expected value, and how useful they would be in your area of discipline.
Add your reference (MLA or APA format)
1.Recall a time when a test score had an impact on your life or on the life of someone you know. Describe what was measured, how it was measured, and how the score was used. Indicate the degree to which you felt that the test score was used appropriately and why.
2.An α level of 0.05 means what? What about an α level of 0.01, 0.001, 0.10, or 0.20?
3.Calculate the correlation coefficient by hand for the X and Y variables in Table 1.1.
4.Calculate the bivariate regression line of salary regressed on cognitive ability (data in Table 1.3). If you had a cognitive skill of 110, what would be your predicted starting salary level? Calculate the R-squared, adjusted R-squared, F, Sb, and t when regressing starting salary on cognitive ability. Interpret your findings.
5. At what level would the following variables be measured?
a. Distances between towns
b. Intelligence measured by an IQ test
c. The rank ordering of members of a class based on height
d. The numbering of those with blue eyes 1, brown eyes 2, green eyes 3, and other colors
6. If I obtain a score of 100 on a test that has a mean of 120 and a standard deviation of 10, what is my standard score? What would be my T score (mean of 50 and standard deviation of 10)?
Choose a construct that you are interested in finding more about. Here are a few examples to get you started thinking: civic-minded, athletic, studious, and humorous. Once you have selected your topic, create a chart like the one in Table 1.5. Describe what was measured, how it was measured, and how the score was used. Indicate the degree to which you felt that the test score was used appropriately and why.
For this discussion:
Describe the key features of the normal curve and explain why the normal curve in real-life distributions never matches the model perfectly.
Provide two examples of why this is especially true in medical statistics.
Be sure to respond to at least one of your classmates’ posts. Cite any resources used.
For this module’s assignment review the following.
Voting Theory
A group of students were asked to vote on their favorite horror films. The candidate films are: Abraham Lincoln Vampire Hunter, The Babadook, Cabin Fever, and Dead Snow (A, B, C, D for short). The following table gives the preference schedule for the election.
How many students voted? How many first place votes are needed for a majority?
Use the plurality method to find the winner of the election.
Use the Borda count method to find the winner of the election.
Use the plurality-with-elimination method to find the winner of the election.
Use the pairwise-comparisons method to find the winner of the election.
Sharing by Value
Cake Sharing by Value
Three players (April, Brandy and Cindy) are sharing a cake. Suppose that the cake is divided into three slices (s1, s2, s3). The following table gives the value of each slice in the eyes of each of the players. (A fair share would be 1/3 = 0.333 = 33.3% or greater.)
Which of the three slices are fair shares to April?
Which of the three slices are fair shares to Brandy?
Which of the three slices are fair shares to Cindy?
Find a fair division of cake using S1, S2, and S3 as fair shares. If this is not possible, explain why not.
Sharing by Percentage
Cake Sharing by Percentage
Three players (Adam, Bob and Chad) are sharing a cake. Suppose that the cake is divided into three slices (s1, s2, s3). The percentages represent the value of the slice as a percent of the value of the entire cake. (A fair share would be 1/3 = 0.333 = 33.3% or greater.)
Which of the three slices are fair shares to Adam?
Which of the three slices are fair shares to Bob?
Which of the three slices are fair shares to Chad?
Find the fair division of the cake, using s1, s2 and s3 as fair shares. If this is not possible, explain why not.
Submit your answers to the questions above by downloading and completing the Voting Theory and Game Theory Worksheet below.
In this problem, you will calculate the profits and complete the payoff matrix for two restaurants. Then you will determine what decision should be made based on the payoff matrix. Finally, you will calculate the expected profits for each restaurant under each decision using the probabilities of releasing the holiday items.
