[Combinatorics] Suppose a door is locked (with a single lock), and next to the door there is a largebox with many keys. Each key in the box is one of k € N types and only a single type can open thedoor. We assume that the keys are visually identical and all key types are presented in the box inequal proportions. What is the minimum number of keys one should randomly pick from the box inorder to have at least a 99% chance to open the door with one of selected keys? Express the resultas a function of k. [Hint: here we can assume that the key box is huge and drawing some finitenumber of keys from the box has a negligible effect on the proportion of remaining keys in there]

The minimum number of keys with at least a 99% chance to open the door. [ In function of k]Given…

Answered: [Combinatorics] Suppose a door is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are playing a single joint game with all your fellow students where you have to choose an integer from (0,1,2, .100}. A player's payoff depends on the distance of his answer to 2/3 of the average of all players' answers; the closer the better. Example: Your answer is 45. There are two other players whose answers are 25 and 56. Then, the average is (45+25+56)/3=42. 2/3 of the average is 28. Your distance to 2/3 of the average is 145-28|=17. All players will be ranked according to their answer's proximity to 2/3 of the average. The top 25% of the players get 2 points. The next 50% get 1 point. The bottom 25% get 0 points. (In case of ties, points will be distributed evenly in the enlarged classes.) Please give your answer as a single integer from (0,1,2,3,.100}. A valid submission would look like this: 45
EXERCISE 3. Assume that 2n tennis player play 2n -1 days in a tournament, playing each day one match against a different other player. Show that it is possible to select a winner every day without selecting the same player twice.
A) When does combinatorial explosion occcurs? B) What do people do to avoid this from happening when making decisions or solving problems?
A company has 19 new employees to train. The training methods consist of computer-based training, televised classes, and traditional classes. The company intends to maximize the number of employees that are trained without the traditional classes, but only 6 employees can be chosen for computer-based training, and 8 employees can be chosen for televised classes. In how many ways can the 19 employees be divided for training?
In a survey of 165 students, it was found that 65 students use Facebook, 85 students use Instagram, 50 students use Twitter, 25 students use both Facebook and Instagram, 15 students use both Facebook and Twitter, 20 students use both Twitter and Instagram, 10 students use all three social media platforms (Facebook, Instagram and Twitter). (a) Find the number of students who use exactly one of the three social media platforms. (b) Find the number of students who use none of the three social media platforms.
Give me an example of a single factor design and an example of a factorial design. Provide the independent variable (IV) with its levels and dependent variable (DV) for the single factor design and the independent variables with their levels and DV for the factorial design
Please answer the second part (iv) (v) (vi) (vii)
A group of Industrial Organizational psychologists wanted to test if giving a motivational speech at the end of a meeting would encourage office workers to have a higher output to their work based on the numbers of sales each workers made. The group tested 10 participants that were in two conditions where one meeting ended in a motivational speech and another were no motivational speech was given. Here are the number of sales that was produced by the 10 participants for both conditions: Yes speech: 2, 6, 1, 9, 3, 12, 8, 0, 5, 1No speech: 3, 0, 5, 10, 1, 8, 2, 1, 9, 11Use the four steps of hypothesis testing to find out if there is a significant difference between the two groups, using APA format to answer the question.

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