Skip to content
Q2Section I (Objective (Q1–Q80))2 of 80

Probability — moments from a 2x2 joint table

The joint distribution of two random variables X and Y is given below: X=0: α1\alpha_1 (Y=-1), α2\alpha_2 (Y=1); X=1: α3\alpha_3 (Y=-1), α4\alpha_4 (Y=1); where αi≥0\alpha_i\ge0 for all ii and ∑14αi=1\sum_1^4\alpha_i=1. Which of the following are correct? 1. E(Xr)=α3+α4E(X^r)=\alpha_3+\alpha_4, for all rr. 2. E(XY)=α4−α3E(XY)=\alpha_4-\alpha_3. 3. E(XY)2n=α3+α4E(XY)^{2n}=\alpha_3+\alpha_4, for all nn. Select the correct answer using the code given below.

Options

Pick an option to check your answer. In a mock test a wrong answer here costs 0.83 mark.