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Question: Landscape dynamics. To make a crude model of a forest we might introduce states 0 = grass, 1 = bushes, 2 = small trees, 3 = large trees, and write down a transition matrix like the following:
The idea behind this matrix is that if left undisturbed a grassy area will see bushes grow, then small trees, which of course grow into large trees. However, disturbances such as tree falls or fires can reset the system to state 0. Find the limiting fraction of land in each of the states.
Your client has $50,000 to invest and you plan to invest 60% in the security with the highest expected return. What would be the characteristics of this portfolio be (E(R),S)?
Imagine that you are trying to predict the price of gasoline (regular unleaded) and the price of natural gas for home heating during the next month.
Which British institution was given independence from the government in 1997, four days after the Labour Party won the general election?
a teacher plans to construct a 25 question exam from previous exams in which there are 50 true false questions and 80
Three years ago, the admissions office for Ivy College began using exponential smoothing with a smoothing constant of 0.25 to forecast the number of applications for admission each year.
a researcher reports the following equation for a best-fitting straight line to a set of data points ycirc?1.01x3.24.
Compute the sample standard deviation for the data - The probability of selecting a card that is both a king and a diamond from 52 cards-Compute range for data
To impress the interviewer, many respondents in a survey of 400 persons exaggerated their annual incomes by anywhere from 2% to 50%. Does such exaggeration represent sampling error or nonsampling error? Explain.
15% with salmonella, and 13% with both. What is the probability that a tested chicken was not contaminated with either kind of bacteria?
Nintendo Sony would like to test the hypothesis that a difference exists in the average age of users of a Wii, a PlayStation, or an Xbox console game. The following data represent the age of a random sample of Wii, PlayStation, and Xbox users.
Your firm has classified orders as either large or small in dollar amount and as either light or heavy in shipping weight. In the recent past, 28% of orders have been large dollar amounts
Erika operates a website devoted to providing information and support for persons who are interested in organic gardening.- Determine the mean and the median for these data. Is there a mode? If so, what is its value?
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