Mathematics

Our Indiscrete Mathematics course has18 students from the the College of Arts, 13 of whom are female;25 students from the the College of Engineering and Informatics, 5 of whom are female;28 students from the the College of Science, 12 of whom are female.How many ways can we choose a single class rep?How many ways can we choose three reps, one from each of the three Colleges?How many ways can we choose three reps, one from each of the three Colleges, so that exactly one is female.

Our Indiscrete Mathematics course has18 students from the the College of Arts, 13 of whom are female;25 students from the the College of Engineering and Informatics, 5 of whom are female;28 students from the the College of Science, 12 of whom are female. How many ways can we choose a single class rep? How many …

Our Indiscrete Mathematics course has18 students from the the College of Arts, 13 of whom are female;25 students from the the College of Engineering and Informatics, 5 of whom are female;28 students from the the College of Science, 12 of whom are female.How many ways can we choose a single class rep?How many ways can we choose three reps, one from each of the three Colleges?How many ways can we choose three reps, one from each of the three Colleges, so that exactly one is female. Read More »

2. SnapFast makes the fastest supercomputers in the world. The production manager has hired you as a consultant to help predict monthly demand, based on past demand figures. The following table presents the demand figures for the last 5 months. Month June July August September October Demand 30 34 3339 46 Please round to two decimal places for all computations. N-period Moving Average: F = (A-1 + A-2 + … + A-N )/N Exponential Smoothing: F = Fra + a(A-1 – F-1) Holt’s Method: FIT+1 = Ft +T Ft= QA++ (1 – a)FIT = 0A++ (1 – a)(Ft-1+T+1) T = B (Ft-Fr.) + (1-B) Tt-1 a) Based on the pattern of the above demand data, which objective forecasting method(s) would you recommend and why? b) What will be the demand forecasts for November if a 2-month simple moving average is used? c) Based on the simple exponential smoothing method with a smoothing constant, a = 0.5, calculate forecasted demand for November. Start with an initial forecast of 30 supercomputers in June d) Based on Holt’s method with smoothing constants, a = 0.5, B = 0.1, calculate forecasted demand for November. For June, start with F = 30 and T. = 4. e) Using the MAD measure, only for months from (including) August to including) October, compare the accuracy of forecasts generated by simple moving average in part (b), simple exponential smoothing in part (c), and Holt’s method in part (d). Based on your MAD measures, which forecasting method is better in this case?

EXPERT ANSWER a). Holt’s method is recommended because it provides two smoothing(level smoothing and trend smoothing). It has two smoothing constants α and β.

Question: Exercise 1: Express the following using summation notation: 1) res

Exercise 1: Express the following using summation notation: 1) result the symbol 00 {(k+1)3 k=1 2) Write the symbol summation.. k= 9 + 16 + 25 + 36 + 49. Compute the following products: 1) result the symbol 1:2 i=1 2) Write the symbol product.. i= 1.2.3.4.5.6.7.8.9.10 Exercise 2: Use mathematical induction to prove that: …

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Question: ) Quarterly demand values for flowers at a wholesaler are as sho

Question 2) Quarterly demand values for flowers at a wholesaler are as shown below. Forecast quarterly demand for year 5 using simple exponential smoothing with a = 0.1 as well as Holt’s model with a=0.1 and B = 0.1. Which of the two methods do you prefer? Why? (Hint: You need to use accuracy measures). …

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Question: The number of faculty listed for a variety of private colleges that o

The number of faculty listed for a variety of private colleges that offer only bachelor’s degrees is listed below. Use the data to construct a frequency distribution with 7 classes, a histogram, a frequency polygon and an ogive plot. Discuss the shape of the distribution. What proportion of schools have over 180 faculty members? EXPERT …

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Question: Sound Warehouse in Georgetown sells CD players (with speakers

Sound Warehouse in Georgetown sells CD players (with speakers), which it orders from Fuji Electronics in Japan. Because of shipping and handling costs, each order must be for five CD players. Because of the time it takes to receive an order, the warehouse outlet places an order every time the present stock drops to five …

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