I need help solving these problems.

1. Toss two coins. Let X be the resulting number of heads and Y be the number of tails. Find the distribution of each 2. Let f(x) = x for 0 x V2 be the pdf. of a triangular randon variable X. Using geometry or calculus, find P(X b) for 0 sbs v2. 3. Let X have a uniform distribution on [0, 1]. That is, t has density f(x) 1 and is 0 1, use geometry or calculus to find the quanitle function that returns b, where for 0 otherwise. For 0P P(X