F(x)=016x21x<00x<44x Ise the cdf to obtain the following. (If necessary, round your ansv (a) Calculate P(X3). (b) Calculate P(2.5x3). (c) Calculate P(X>3.5) (d) What is the median checkout duration ~ ? [solve 0.5=F(~)] (e) Obtain the density function f(x). f(x)=F(x)={00x<4otherwise (f) Calculate E(X). (g) Calculate V(X) and x. V(X)x (h) If the borrower is charged an amount h(X)=X2 when check.