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Box A contains 8 items of which 3 are defective, and box B contains 5 items of which 2 are defective. An item is drawn at random from each box. What is the probability p that both items are nondefective?

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Renewable energy systems are something the power industry will start harnessing for power generation. Some types of renewable energy sources are,

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5. Weekes' research on anxiety examines: a) Panic b) Phobias c) OCD d) PTSD

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Consider the function graphed at right. Join multiple intervals with a union. A) Give the open interval(s) where the function is increasing. (-4,5) B) Give the open interval(s) where the function is decreasing. C) Give the open interval(s) where the function is constant. D) Give the domain of the (-∞,∞) function using interval notation. E) Give the range of the function (-∞,3) using interval notation. 10 9 8 7 6 5 4 3 2 1 0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 Q

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Choose the correct story elements from 'A Sound of Thunder'. Choose all that apply. They are able to hunt in the past because their scouts select an animal that would have died naturally anyway, so there is no effect on the future. Eckels the guide and Travis the client travel to the Jurassic on a hunting expedition. Eckels panics, leaves the special path, and steps on a butterfly in the past, which changes the outcome of an election in the present. At the end of the story the 'Sound of Thunder' is a T. rex. They are able to hunt in the past because nothing they do will have an effect on the future. Travis the guide and Eckels the client travel to the Jurassic on a hunting expedition. At the end of the story the 'Sound of Thunder' is a gunshot.

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QUESTION 5 [TOTAL MARKS: 25] Q5a [13 Marks] Suppose a packet stream travels from Dublin to New York (approximately 5000 km). The propagation speed is 2.0 x 10^8 m/sec. Suppose further each packet is 10,000 bytes and is transmitted at the sender at a rate of 100 Mbps = 10^8 bits per second. You may assume transmission and processing delays are small relative to the propagation delay, that there are no queuing delays, and that the ACK size is small (so transmission time is negligible). i) How many packets may be transmitted before the first is acknowledged? (4 marks) ii) Suppose that we use a window-based Transport layer protocol. What window size would be required to achieve a maximum efficiency of 0.70? (5 marks) iii) For the above scenario, in 100 words or less, discuss the pros and cons of using Go-Back-N vs Selective Repeat protocols to provide reliable data transport. (4 marks) [12 Marks] Q5b) Suppose TCP Reno is being used as a transport layer protocol. For twenty transmission rounds, indicate the size of the congestion window and threshold value assuming a triple duplicate ACK occurs just after round 11 and a timeout occurs just after round 14. Assume the initial threshold value is 64. [End of Question 5]

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Let X be given by its distribution function F(x), such that F(x) = 0 if x <= 1, F(x) = x^2 - 2x + 1 if 1 < x <= 2, and F(x) = 1 if x > 2. a) Find E(X), Var(X), σ(x) b) Find P(1.5 < x < 2.5)

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Evaluate the line integral $\oint_C 3xydx + 2x^2dy$, where C is the boundary of the region R bounded above by the line y = x and below by the parabola y = x - 2x.

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58. Investment Strategy Kathleen wishes to invest up to a total of $40,000 in a combination of bonds and stocks. And she believes that the amount invested in bonds should be at most one-third of the amount invested in stocks. (a) Define variables to represent the amount invested in each of the two types of securities $X$ = amount to invest in bond (in $1000s) $Y$ = amount invested in stocks (b) Write a system of linear inequalities that describes the amounts that can possibly be invested in the securities $x \ge 0$ $y \ge 0$ $x + y \le 40000$ $x \le \frac{1}{3}y$ (c) On the graph paper, graph the system of linear inequalities and show the solution region graph use scales (d) List the corner points of the solution region

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Problem 5 (15 points). To commemorate its anniversary, Hunt Valley Motors offered 2% cashback on its popular 2023 A6 Midsize SUV during the month of July. Customer responses were enthusiastic, with sales rising by 6% as a result of the promotion. The marginal cost of an A6 Midsize model for Hunt Valley Motors is $45,250, which is the amount paid to the manufacturer plus all related selling costs. Assuming all other things equal: a) Estimate the price elasticity of demand for the 2023 A6 Midsize SUV. b) Assuming the price elasticity of demand calculated in part (a) is still valid, how much should Hunt Valley Motors charge for the 2023 A6 Midsize SUV in order to maximize profits? Briefly explain why you are proposing that price. c) A Mexican tourist traveling through Baltimore is considering buying a 2023 A6 Midsize SUV and drive it to his home in Mexico tonight; however, the maximum price she is willing to pay for the A6 Midsize SUV car is $55,000. Should Hunt Valley Motors accept her offer or not? Explain why or why not and outline the assumptions you made to answer the question.

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ryan f.