3. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the
Posted: Tue Jul 12, 2022 8:11 am
3. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy(x, y) is given by 1 2 y 123 0.05 0.05 0 0.05 0.1 0.2 3 0.1 0.35 0.1 (a) Evaluate the mean and variance of X. (b) Evaluate the mean and variance of Y. (c) Evaluate P(Y=21X = 3). (d) Evaluate E(XY) and determine the correlation coefficient between X and Y.