Density and Distribution Functions: Consider two independent RVs, X and Y, with pdfs shown below: fx (x) 0.3 0.04 A fy(y) = 0.98(y) + Bo(y - 1) -5 2 4 X a) Determine the value of the constants A and B b) Draw the cdf of X and Y c) What is the probability that X falls between 1 and 3? d) What is the probability that X is greater than 3 given that X is between 0 and 4? e) Determine the mean of X f) Define a third random variable Z = XY. Draw the pdf of this mixed random variable