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3. (20 pts) Answer the following questions in a disk system with multiple hard disks: a) If a disk system contains 1,000 disk drives (uniquely numbered as HID 0001 – HID1000), and the probability of an individual disk failure is 1/100,000. What will be the probability that the system experiences any disk failure (i.e., any one disk fails)? Note that failures happen independently. b) In the same system as described in a), two copies of a data block are stored in HID200 and HID300. What is the probability that the system loses the data block due to the concurrent failure of HID200 and HID300?

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14. Let $p_n$ be the interpolation polynomial of $f$ at the nodes $x_0, \dots, x_n$. Suppose we know $p_n(x) = 3x^n + q(x)$, where $q$ is a polynomial of degree at most $n-1$. Find $f[x_0, \dots, x_n]$. 15. (a) Find the interpolation polynomial $p_2(x)$ of $f(x) = x - 9^{-x}$ at $x_0 = 0$, $x_1 = 1/2$ and

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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5\% significance level.\ Test $H_0: p = 0.75$ vs $H_a: p \neq 0.75$ using the sample results $\hat{p} = 0.70$ with $n = 123$ Round your answer for the test statistic to two decimal places, and your answer for the p-value to three decimal places.\ test statistic = $p$-value = Conclusion: $H_0$

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Graph all vertical and horizontal asymptotes of the rational function. f(x) = \frac{-x-7}{x+2}

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A benevolent social planner would have the monopoly operate at an output level

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Solve the inequality. Write the solution set in interval notation. -x - 9 ? 8x + 5 The solution set is (Type your answer in interval notation.)

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There are three main types of Litigation Services provided by Forensic Accountant: Being an expert Consultant, expert witness, master & special master Master of the forensic domain

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Optimal decision tree Dog Cat Rabbit Donkey Lizard Green Test Yellow Test Red Test Blue Test + + + - + + + - + - + - + Using the chart results above, create two optimal decision trees to organize the results Make one with the fewest amount of test possible Make one with the most amount of test possible

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Air at a temperature of T?= 30°C and 6 kPa pressure flow with a velocity of 10 m/s over a flat plate 0.5 m long. Estimate the heat transferred per unit width of the plate needed to maintain its surface at a temperature of Ts = 45 °C. Tip: Don't forget to account for the pressure. Also, don't forget that viscosity will always be smaller than 1.

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An Elastic, linear, wedge-shaped thin plate ABC is fixed along line BC and loaded with a concentrated Moment A above point A as shown in the figure. Assume known Elastic constants $E, \nu$, and neglect body forces. (Own weight). A. Write the appropriate boundary condition for the given case. (according to the Saint Venant's Principle*) B. Found the appropriate stress field using the Airy function: $\phi = A + B(\sin2\alpha - 2\alpha \cos2\alpha)/[2(\sin2\alpha - 2\alpha \cos2\alpha)]$ A,B - constants. *The boundary conditions are to be written in a \"compact\" form such as: $\sigma_\theta (r, \alpha) = 0$ $\tau_{r\theta} (r, \alpha) = 0$

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andrea g.