Hi there,

I am having trouble understanding this question. Could you please give me some hints to get started?

A fair coin is tossed. If the outcome of the coin toss is Tails, a real number is chosen at random (uniform) from the interval ( 0, 1 ). If the outcome of the coin toss is Heads, a real number is chosen at random (uniform) from the interval ( 0, 2 ). Let X denote the outcome of this random experiment. Find the probability distribution of X.

Thank you!