Find the Fourier series of whose graph is an triangle with vertices at and is assumed to have a period .

Find the Fourier series of whose graph is an triangle with vertices at and is assumed to have a period . Show the details of your work. Sketch or graph the partial sums up to that including cos5x and sin 5x. 2) Using Parseval’s identity, show that Find the Fourier transform of Show that if […]

Discuss how you will use estimation and confidence intervals to help you solve the problem.

You have been hired by your regional real estate company to determine if your region’s housing prices and housing square footage are significantly different from those of the national market. The regional sales director has three questions that they want to see addressed in the report: Are housing prices in your regional market lower than […]

What can you say about the relationship between the height of parents and their children? Are children of tall (short) parents as tall (short) as their parents?

Part 1: Analysis with Galton’s original data set Galton’s work on children and parents’ height was published in: Galton, F. (1886): “Regression towards mediocrity in hereditary stature”, Journal of the Anthropological Institute, 15: 246-63. In this first part of the project you are asked to reconstruct the original data from this original article and replicate […]

What is the probability of rolling five-of-a-kind on your first roll in Hex Yahtzee?

Question 1)solve the following questions using classical probability theory. Show your math or describe your answer clearly. Given P(A) = 0.6 ; P(B) = 0.5; and P(A ⋂ B) = 0.2 , then P(A|B) ? If P(A) = 0.3 and P(B|A) = 0.3, are events A and B independent? If not why? In May in […]

How many voters should be sampled such that the sampled fraction of voters favoring the bond issue will between 0.15 and 0.35 with probability at least 0.96?

A pollster believes that 25% of the voters in a certain area favor a bond issue. a) Suppose that n = 200 voters are randomly sampled from the large number of voters in this area, what is the probability that at most 60 voters favor the bond issue? b) How many voters should be sampled […]

Describe your research findings and provide your conclusion.

Prompt: Identify a research topic that you are interested in. Formulate your research question. Then complete the following: Choose the research variables needed to answer your research questions. Formulate hypotheses for your study. Collect data from secondary sources (e.g., historical stock price, weather, census). Test the hypotheses using one or more of the techniques you […]

Is there a positive association between the size of the house and its selling price?

1-A sample of 12 houses that were sold last week in San Juan is selected. Can we conclude that, as the size of the house (reported in thousands of square feet in the table below) increases, so does the sale price. the following table in thousands of square feet), the selling price (reported in thousands […]