A qualifying exam for a postgraduate course has a maths section and a verbal section. Students re...
A qualifying exam for a postgraduate course has a maths section and a verbal section. Students reeive a score of 1, 2, or 3 on each section. Define X as a student's score on the maths section and Y as a student's score on the verbal section. Test scores vary according to the following bivariate probability distribution. 1 0.33 0.15 0.16 x 2 0.04 0.06 0.10 3 0.05 0.10 0.01 x-1.52 and 1.85 0x = 0.7547 ,and Oy 0.8170 The covariance of X and Y is independent . The coefficient of correlation is isThe variables X andY . The expected value of + Y is , and the variance of X+Yis To be accepted to a particular postgraduate course, a student must have a combined score of 4 on the qualifying exam. What is the probability that a randomly selected exam taker qualifies for the course? O0.51 0.49 0.45 0.48