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Question: Suppose that liquid in a container is placed in a coordinate system, and at time 0, a pollen particle suspended in the liquid is at (0, 0, 0), the origin. Let Z(t) be the z-coordinate of the position of the pollen after t minutes. Suppose that $ Z(t): t ≥ 0 % is a Brownian motion with variance parameter 9. Suppose that after 5 minutes the z-coordinate of the pollen's position is 0 again.
(a) What is the probability that after 10 minutes it is between -1/2 and 1/2?
(b) If after seven minutes the z-coordinate of the pollen's position is -1, find the expected value and variance of the z-coordinate of the position of pollen after six minutes.
Obtain monthly balance-of-trade data for the last 24 months between the United States and the United Kingdom or a country specified by your professor. eate an electronic spreadsheet in which the first column is the month of concern, and the second..
How many units should the company currently have in stock so that it can be 98% certain of not running out during this three-week period?
suppose that a category of world class runners are known to run a marathon 26 miles in an average of 149 minutes with a
on nov 1 2012 there was a florida poll. the poll was of 549 likely florida voters. 47 said they were going to vote for
A social media critic is interested in knowing whether twitter visits has increased. Perform hypothesis test and Compute P value.
In her wallet, Susan has 12 bills. 6 are $1 bills, 2 are $5 bills, 3 are $10 bills, and 1 is a $20 bill. She passes a volunteer seeking donations for the American Red Cross and decides to select 1 bill at random.
First, describe in your own words (no direct quotes, please) what a dummy variable is and its purpose in regression analysis. Secondly, provide an example of where you might use a dummy variable from your own professional experience.
the probability that a 52-year-old white male will live another year is .99386. what premium would an insurance company
a professor of mathematics refutes the claim that the average student spends 4.5 hours studying for the final
Let {B{t), t ≥ 0} be a standard Brownian motion, that is, a Wiener process with drift coefficient 𝜇 = 0 and diffusion coefficient σ2 = 1. Suppose that when B(t) = a {> 0) or b = -α, the process spends an exponential time with parameter λ = 2..
Psychometric Tools Find two examples of psychometric measurement tools, as listed on page 288 that have been used in actual research. Critique them using the criteria listed on page 289 to determine how they avoid or are subject to bias.
Assume the underlying distribution of days since the last offense is normal for each state. Find a 99% confidence interval for the true mean number of days since the last offense for repeat offenders in each state.
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