x1 + x2 <= 1
If both the projects are done it will be equal to 1 or otherwise it would be equal to 0 hence this formulation will prove the condition to be 1 or 0 depending upon the status of the project.
Question 16 Let xy be 1 if the project is done an d zero otherwise. What...
O. Let X1 and X2 be two random variables, and let Y = (X1 + X2)2. Suppose that E[Y ] = 25 and that the variance of X1 and X2 are 9 and 16, respectively. O. Let Xi and X2 be two random variables, and let Y = (X1 X2)2. Suppose that and that the variance of X1 and X2 are 9 and 16, respectively E[Y] = 25 (63) Suppose that both X\ and X2 have mean zero. Then the...
QUESTION 15 Let X be a nonnegative random variable (the possible values of X are all nonnegative numbers), and suppose E( X ) = 1, then, the probability that X takes a value greater than 5, cannot be A. larger than 0.1. B. larger than 0.2. C. less than 0.2. D. none of the above. QUESTION 16 Let X be any random variable, and E( X ) = 2, then, the probability that X takes a value greater than 10, cannot...
JS: QUESTION 1 A company must invest in project 1 in order to invest in project 2. Which of the following constraints ensures that project 1 will be chosen if project 2 is invested in? a. X1 - X2 is greater than or equal to 0 b.X1 - X2 is less than or equal to 0 c. X1 + X2 is equal to 1 d. X1 + X2 is equal to 0 QUESTION 2 A company wants to select no...
7. (15 points) Let Xi and X2 be the position of two points drawn uniformly randomly and independently from the interval [0, 1]. Define Y = max(X,Xy) and Z-X1 + X2. (1) Calculate the joint PDF of Y and Z. (2) Derive the marginal PDF of both Y and Z. Are Y and Z independent? 7. (15 points) Let Xi and X2 be the position of two points drawn uniformly randomly and independently from the interval [0, 1]. Define Y...
1 Let X1, X2, X3 be a random sample from a population with density otherwise. What is the form of best critical region of α-0034 for testing Ho : θ 1 versus Ha : θ-27(Hint: You may use the fact that-2(1 + θ)Σ1nKi ~ χ"(6) for finding k) 1 Let X1, X2, X3 be a random sample from a population with density otherwise. What is the form of best critical region of α-0034 for testing Ho : θ 1 versus...
Question 3 1 pts Let 7 = (xy, - xy) and let D be given by 0 < x <1, 0<y<1. Compute Sap Ē. dr. 0-1 OO O1 O2
2019 Summer I 270 Exam 1A Take Home Due at 1120 on 20190520 Write down a system of six distinct linear equations in the unknowns x1, X2、Xy, and x4, in R4 such that: 0 exactly two of the unknowns 1 x2, 3, and x4 occur in each of them with non-zero real coefficients 1 the system has exactly one solution: χ,-c, and x,-d respectively. a, X2-b, Xy Prove that your answer is correct; otherwise, you will get 0 on this...
Let f(x,y) = (1+xy)/4, if |x|<1 and |y|<1 and f(x,y) = 0, otherwise be the joint probability density function of (X, Y ). (a) Are X and Y independent? (b) Are X2 and Y 2 independent?
2. Let X1 and Xbe independent random variables, each with density ſcexp(-1) 0<=<1 lo otherwise a. What is the value of c? b. Find the joint distribution of Y1 = X1 + X2 and Y2 = X2. (For simplicity, just use the letter c and do not subtitute the expression you found in part a.) c. Find the marignal distribution of Yı.
Please note that question 4 should be answered. QUESTION 3 Let Xi, X2, X, be a random sample from a distribution with probability density function -10(1-xy-i İf 0 < x < l and θ > 0, otherwise. QUESTION 4 Refer to QUESTION 3 above. E(Xi)- 74-1 (a) Find the method of moments estimator of 0 (b) Find the maximum likelihood estimator of 0.