A continuous random variable X has a density function given by Show that the area under the curve is equal to 1. Find P(2 < X < 2.5). Find P(X < 1.6) Find P(x< 1) Find P(x > 2) E(X), V(X), and E(X). E(3X +1), Var(3X + 1), and SD(3X + 1) Q7: A continuous random variable X has a density function given by f(x)={210,1x3otherwise i) Show that the area under the curve is equal to 1 . ii) Find P(22) vi) E(X),V(X), and E(X). vii) E(3X+1),Var(3X+1), and SD(3X+1).