02 Joint Density Manipulation 4 Points Suppose that continuous random variables X and Y have a joint probability density function given by. c2y, O S otherwise 02.1 Solve for the constant I Point What value ofc makes this a valid probability density function? Enter your answer here Select file(s) 02.2 Probability a Ia mode I Point Define the mode of a continuous random variable to be the point at which the density is maximized. if such a point exists. Whet is tt-e mode of Y? Enter your answer Select 02.3 Expectation I Point W'h&t is the expected value of Y. ELY I ? Enter your answer Select 02.4 variance I Point Whatis the variance of Y. V(Y)? Enr Vour answer Nere Pteese Select