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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 in this state (α or b = -α). Then, it starts again from state 0.
(a) What fraction of time does the process spend in state α or b = -α, over a long period?
The feedback system shown in Figure AP7.13 has two unknown parameters K1 and K2. The process transfer function is unstable. Sketch the root locus for 0 ≤ K1, K2 ∞.
What is the probability that the first order will come on the fourth sales call of the day? Please show work and round to 4 decimal places.
Create a multiple regression model, based on your analysis above. Try to find the model that has the highest adjusted R-square value for predicting the number of Olympic medals won by a country.
A person rolls a pair of six-sided dice, which are equally likely to come up any number from 1 to 6. If the person rolls a seven he gets $0.
Compute the z-score for M=89 for a sample of n=25 scores. Is this sample mean in the middle 95% of the distribution?
When using dummy variables in a regression equation to model a qualitative or categorical variable, the number of dummy variables should equal to
The inside diameter of a randomly selected piston ring is a random variable with mean value 12 cm and standard deviation 0.02 cm.
given the linear correlation coefficient r and the sample size n determine the critical values of r and use your
In any game, the number of passes N that Donovan McNabb will throw has a Poisson distribution with expected value µ = 30. Each pass is a completed with probability q = 2/3, independent of any other pass or the number of passes thrown.
During normal business hours on the east coast, calls to the toll-free reservation number of the Nite Time Inn that the numb roy calls per minute can be described by the Poisson distribution.
If 15 golfers check in using this process, the expected number of players who will actually show up is ______; the variance for the number of players who actually show up is ______?
What do we call disconnecting from a traumatic emotion without denying, repressing or reshaping it in any way?
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