probability of being in a circle and autocorrelation:

= = 4.(15%) Jointly normal random variables x and y have mean and standard deviations of ux = 0.2, My = 0.3, 0x = 0.1 and Oy = 0.2. The correlation is Pxy = 0.5. What is the approximate diameter of a circle for 50% probability of a point (x,y) being in the circle and what is an estimate of the location of the circle? 5.(10%) The measurements of the length x of a metal rod have a mean value of 0.5 m and a standard deviation of 0.2 m. What is the autocorrelation function for x? = = 4.(15%) Jointly normal random variables x and y have mean and standard deviations of ux = 0.2, My = 0.3, 0x = 0.1 and Oy = 0.2. The correlation is Pxy = 0.5. What is the approximate diameter of a circle for 50% probability of a point (x,y) being in the circle and what is an estimate of the location of the circle? 5.(10%) The measurements of the length x of a metal rod have a mean value of 0.5 m and a standard deviation of 0.2 m. What is the autocorrelation function for x