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1. Use the Binomial Theorem to give the expansion of: (p+q)32. (THIS PROBLEM COUNTS DOUBLE)3. Using information in the Lesson 09 Online Content and the Lesson 09 Problems of the Week, create a membership function m(x) for the fuzzy set of Good Basketball 3-Point Shooters as follows: Let x be the career percentage of 3-point shots made by a player; if x > 60%, then the player is a good 3-point shooter; if x < 20%, then the player is NOT a good 3-point shooter; if 20% ≤ x ≤ 60%, then m(x) should be a linear function in the range 0.0 to 1.0 (i.e., when graphed, m(x) should be a sloped line for 20% ≤ x ≤ 60%). Express your answer as a function (not an actual graph)4. Research an application of Fuzzy Sets/Fuzzy Logic. Write a brief paragraph describing the application (what is the problem it addresses; why was a Fuzzy System chosen as a solution; pros and cons of the Fuzzy solution; etc.). To get credit for this question you may NOT rely solely on the online Course Content as your only source of information (and you must properly cite your sources)5. (THIS PROBLEM COUNTS DOUBLE)6. Using information in the Lesson 09 Online Content and the Lesson 09 Problems of the Week, construct an Excel-compatible worksheet for a Monte Carlo simulation of rolling a pair of dice. HINT: The Excel function RANDBETWEEN(x, y) generates a pseudorandom number between x and y. You'll need to compute and display the probabilities for all possible outcomes of an experiment consisting of THE SUM OF ROLLING TWO DICE. Make sure to include enough labels/comments so that a user can understand what you've done. Upload your spreadsheet file to the ANGEL Drop Box along with your completed Quiz document (you'll be uploading MORE THAN ONE FILE to the Lesson 09 Drop Box, but ANGEL can handle it)7. Research an application of Monte Carlo (MC) Methods. Write a brief paragraph describing the application (what is the problem it addresses; why was Monte Carlo chosen as a solution; pros and cons of MC; etc.). To get credit for this question you may NOT rely solely on the online Course Content as your only source of information (and you must properly cite your sources)Using the fuzzy membership functions from Tables 7 and 8 in the Online Course Content, calculate the applicable degree of membership using the MWarm() membership function for the following temperatures:8. 68mWarm= 9. 79mWarm= 10. 89mWarm= Let x and y belong to a fuzzy set with m(x) = 0.40 and m(y) = 0.75. Calculate the membership value for:11. NOT yNOT y = 12. x AND yx AND y = 13. x OR yx OR y = 14. Download and open the Excel workbook file named "Monte Carlo Calculation of Pi.xlsx" from the Lesson 9 folder, and make sure the worksheet named "MC Pi" is selected. The worksheet should contain 27 rows (4 through 30) with formulas; the column headings should be "X", "Y", "Distance from (0, 0)", and "Point in Circle?", respectively. Check the formulas for rows 4 through 30 in columns A through D and write down the four Excel formulas from columns A through D in row 5 of the "MC Pi" worksheetNow write down the formulas for the count of Points in Circle and Total Points (cells F8 and F11). Explain what these two formulas are calculatingRecord the current value for the estimate of PiNow continue adding more and larger numbers of iterations three separate times, and record the new estimate of Pi for each of the threeNow try deleting iterations from the simulation three separate times and record the new estimate of Pi for each of the three15. What would you EXPECT to happen to the estimate as you add more and more iterations?What would you EXPECT to happen to the estimate as you remove more and more iterations?
Draw an activity diagram representing each step of the process; from the moment you pick up the phone to the point where you are eating the pizza.
The text of the Encyclopedia Britannica is about 44 million words. For a sample of about 2000 words, the average word length was 6.1 characters per word. Approximately how many characters are there in the encyclopedia?
Describe in scholarly detail how you would use WBS as aid to finding staffing level requirements for project team?
Given the following class definition, describe the type of variables used by the arguments and return values of the following member functions (values, pointers, or references):
Estimate the maximum aggregate I/O transfer rate in this system. Hint: Only one device at a time can be serviced on a selector channel.
The system to be developed is intended to be operational in a small market firm or small business firm or even in home usage. Familiar examples might include an income tax preparation package by a small tax consulting firm.
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The shipping clerk at Rinky Dooflingy Corporation is faced with the problem: Dooflingies are very deilicate and must be shipped in special containers.
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Write a console program that repeatedly prompts the user to enter data until they type done (any case, Upper, Lower, or Mixed). As they enter the data
What must a kernel provide for an effective user-level thread implementation? Do you have immediate help for this answer?
In this project, you will work with a fax cover sheet, an application letter, and a resume. To complete the project you will create a table, add text to a table, and format tables.
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