Let X and Y have the following joint probability density function: fx,y(x,y) = 1 / (x² y²), for x>1, y>1 0, otherwise Let U = 9 X Y and V = 10 X. In all question parts below, give your answers to three decimal places (where ap (a) The non-zero part of the joint probability density function of U and V is given

Please complete each portion

The time X of a certain chemical reaction, measured in hours, has the probability density function f(x) = -2x + 2 over the interval [0,1]. A. Draw the draw of this probability density function.  B. Verify that it is a probability density function of a continous random variable X.  C. Find the probability that the time of a reaction more than 0.5 hour.