Numerade

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2. Generate a time series {$Y_t$} with length 2000 from the following model: $$Y_t = 0.5Y_{t-1} + \varepsilon_t - 0.5\varepsilon_{t-1},$$ where {$u_t$} are iid normal with mean 0 and standard deviation one. (a) Plot the time series {$Y_t$}. (6 pts) (b) Plot the ACF and PACF of the time series. (6 pts) (c) Identify an appropriate model (AP) for the sample of $Y_t$. Why do you choose the AP model? (7 pts) (d) Write down your estimated model in (c). (3 pts)

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Has learning about settler colonialism changed your perspective about so-called Australia? Having read UNDRIP, do you think the Australian government is honouring their commitments to self-determination? Considering the Northern Territory Intervention for example?

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Determine the following: 5.1 $\mathcal{L}\{(1-e^t)^2\}$ 5.2 $\mathcal{L}^{-1}\{\frac{s-4}{s^2-8s-20}\}$

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Problem 1. By Ross 3 : 63, a toy which has outcome 1 with probability p and outcome 0 with probability 1-p can be used to simulate flips of a fair coin. Find a way to use a fair coin to simulate a topy which has outcome 1 with probability 1/5 and outcome 0 with probability 4/5.

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13 1 point Choose all of the statements that apply to Roster Notation for Sets. When using roster notation to describe a set, Roster Notation is: limited to the kind of elements for math reasons. limited to variables for description reasons. limited to numbers for algebraic reasons. limited to number of elements for practical reasons.

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The ischium articulates with both the ilium and the pubis forming the acetabulum. O FALSE O TRUE

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Rita gives out free samples of soda to shoppers at Sam's Club. 129 people chose one beverage from Orange Crush, Mountain Dew and Pepsi Wild Cherry. Rita recorded their selections, which are shown in the table below. Option Selected Frequency Relative Frequency Orange Crush 76 a) Mountain Dew 39 b) Pepsi Wild Cherry 14 c) Total 129 d) Fill in the Relative Frequency Column. Round your answers to 3 decimal places.

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Economic Estimated rate of Return from Probability Condition Investment Logical IT Recession 30% -20% Normal 20% 15% Expansion 35% 30% Boom 15% 50% Safeworth ASX Grocery 200 5% -4% 6% 11% 8% 17% 10% 27% You are told that a one-year Treasury note will have a rate of return of 5% over the next year. Also, information from an investment advisory service lists the current beta for Logical IT as 1.70 and for Safeworth Grocery as 0.60. Following data was presented to you. You are also provided a series of questions to guide your analysis.

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The function $f(x) = \frac{\tan(x)\sqrt{x+2}}{x^2 + 1.5}$ is continuous on $\left\{ x \mid x \ge -2 \text{ and } x \ne \frac{\pi}{2} + n\pi, \text{ where } n = -1, 0, 1, 2, 3, \dots \right\}$ $\left\{ x \mid x \ge -2 \text{ and } x \ne \frac{\pi}{2} + n\pi, \text{ where } n = 1, 2, 3, \dots \right\}$ $\left\{ x \mid x \ge -2 \text{ and } x \ne -1.5 \text{ and } x \ne \frac{\pi}{2} + n\pi, \text{ where } n = 1, 2, 3, \dots \right\}$ $\left\{ x \mid x > -2 \text{ and } x \ne \pm 1.5 \text{ and } x \ne \frac{\pi}{2} + n\pi, \text{ where } n = 0, 1, 2, 3, \dots \right\}$

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To make stress measurements in the wall of a long, straight tunnel located in 250 meters deep and the axis of which dips 70, three flapjacks were installed in the same stress field. The slots for the flapjacks were cut normal to the wall of the tunnel and were oriented relative to the tunnel axis as shown in the figure. The final measurement for each of the flapjacks A, B and C were 8.13 MPa, 6.21 MPa, and 6.97 MPa, respectively. Compute the principal stresses and their directions.

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marta k.