Computer Science > QUESTIONS & ANSWERS > ISYE6644 Midterm II solutions B — Test #2 Solutions QUESTIONS AND ANSWERS (All)

ISYE6644 Midterm II solutions B — Test #2 Solutions QUESTIONS AND ANSWERS

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This test is 120 minutes. There are 38 questions, each worth 2.5 points, and a “free” 39th question, worth 5 points (total = 100). In addiiton, later on, we will add 4 points to everyone’s sc... ore (up to a max of 100). But in exchange, you will not be allowed to whine about (and we will not consider) any grade scoring issues unless they involve more than 4 points. Let’s get some additional awyer stuff out of the way. . . You’re allowed the following items: • Pencil / pen and scratch paper. • A reasonable calculator. • Two cheat sheets (4 sides total). • Normal, t, and χ2 tables. (I will supply these.) Good luck! I want you to make this test sorry that it ever tried to mess around with you!!! 1. Suppose X and Y are continuous random variables with joint p.d.f. f (x, y) = cxy2, 0 ≤ x ≤ 2, 0 ≤ y ≤ 1, for some appropriate constant c. Find E[2X + 1]. (a) 1/6 (b) 5/3 (c) 5/2 (d) 11/3 (e) 12 Solution: First, we need to find c, so we set: ∫ 1 ∫ 2 ∫ 1 ∫ 2 cxy2 dx dy 0 0 2c = . 3 ..................................................CONTINUED [Show More]

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