1. Let X and Y be continuous random variables with joint pr ability density function 6e2re5y İfy < 0 and x < otherwise. y, fx,y (z,y) 0 (a) [3 points] Show that the marginal density function of Y is given by 3es if y 0, 0 otherwise. fy (y) = (b) |3 poin s apute the marginal density function of X (c) [3 points] Show that E(X)Y = y) =-y-1, for y 0 (d) 13 points] Compute E(X) using the...
If a ERI{-1} and b ER{1}, the solution of x- dx + 12 y = at oxy is Select one: o a. y1-b = x + c O b. y b= x+c+x-a O c.y1-b = x+c+xa d. y1 -b = c+x-a e. yb - 1 = x+c+xa f. yi-b = x + cx-a 8. y = x+c+xa y = x+c+x+1 Ni
Find the critical numbers of f(x) = x*(x-2). Select one: a. None of these 12 b. 0,3, 7 7 c. 0,3, 8 O 12 d. 0, 2, 2, 11 7. e. 0,2, 8 8 f. 0,2,
consider continuous joint density function f(x,y)= (x+y)/7; 1<x<2, 1<y<3 Marginal density for Y? Select one: (2+3x)/14 (3+2y)/7 (2+3y)/14 (3+2y)/14 consider continuous joint density function f(x,y)= (x+y)/7 ; 1<x<2, 1<y<3 P(0<x<3, 0<y<4)=? Select one: 0.5 1 0.15 0.25
1. Using the annual profit formula Y =b(x) - a, the b represents: Select one: a. Annual before-tax profit b. Annual fixed costs c. Contribution margin per unit d. Variable costs per unit 2. Using the annual profit formula, Y = b(x) - a, the a represents: Select one: a. Variable costs per unit b. Annual fixed costs c. Total profit d. Total annual units sold 3. Using the annual profit formula, Y = b(x) - a, what is the...
3. Suppose that X is normally distributed N(3.6,0.81).IfY a. Find the probability density function for Y b. State the mean and the expected value for Y c. Calculate the probability P(120S YS 520).
Consider the following A and B nvestment alternatives. Given that interest is 12% find X and Y? Which project you select? Year Project A($) Project B ($) 0 - 11000 -17000 1 9000 х 2 8000 х 3 7000 15000 NPW Y 12267 Select one: O a. X= 11000, Y=8396, Select B O b. X= 12000, Y=10000, Select A O c. X= 13500, Y=8500, Select B O d. X= 13000, Y=8546, Select A O e. X= 15000, Y=11317, Select A...
2. if x is a binomial fan ify is a binomial random variable, calculate P(x), H, and o for each of the following cases. a) P(x-2) for n = 10, p=.4 b) P(x >10) for n = 15, p =.6 c) P(x S 10) for n = 15, p = 9 d) PIX S5) for n = 10, p = .6
3. Suppose that X is normally distributed N(3.6,0.81).IfY a. Find the probability density function for Y b. State the mean and the expected value for Y c. Calculate the probability P(120S YS 520). 3. Suppose that X is normally distributed N(3.6,0.81).IfY a. Find the probability density function for Y b. State the mean and the expected value for Y c. Calculate the probability P(120S YS 520).
1.5.7 Prove the following separately Theorem 1.5.10. Let (X,d) be a metric space. (a) IfY is a compact subset of X, and Z C Y, then Z is compact if and only if Z is closed (b) IfY. Y are a finite collection of compact subsets of X, then their union Y1 U...UYn is also compact. (c) Every finite subset of X (including the empty set) is compact.