I would like some help with the following probability density function questions please and thank you

1. Let X be a continuous random variable (r.v.) with probability density function (p.d.f.) f(z) where OSXS2, f(x) = + 2 25x53, otherwise. (a) Sketch y = f(x). (b) Find the cumulative distribution function, F(x). (c) Sketch y = F(x). (d) Find P(1 S X S 2.5) 2. The cumulative distribution function F(x) for a continuous random variable (r.v.) X is defined as 0 5 x 5 0.25, F(O)= a+I 0.25