Question

Probability question: Choose a point at random in the rectangle with boundaries -1<=x<=1 and 0<=y<=3. This means that the probability that the point falls in any region within the square is the area of that region. Let X be the x-coordinate and Y be the y-coordinate of that point chosen. Find the following and justify all answers numerically and graphically. a) P(Y<=1and X>=0). b) P(Y>=2 or X<0). c) P(Y>=X). d) P(Y<=2\Y>=X)