Recent content by london

  1. L

    CDF of Distance and Angle from Origin of N(0, 1) RVs Y and Z

    but what's the point of writing it out when its supposed to be derived so I can sketch it? My lecturer said double integrals are not assessable so clearly another method is used?
  2. L

    CDF of Distance and Angle from Origin of N(0, 1) RVs Y and Z

    well i really have no idea where to start :/ But i was thinking maybe of using joint distributions but that leads to double integrals and i have not been taught double integrals so there must be another way about it right?
  3. L

    CDF of Distance and Angle from Origin of N(0, 1) RVs Y and Z

    Y and Z are independent N(0, 1) random variables. Let X = |Z|. Consider the random point (X, Y). (a) Derive the CDF FD(d) = P(D ≤ d) of the distance from the origin D = √(X2 + Y2). Sketch this CDF as a function of all real d. (b) The ratio T = Y/X has Student’s t-distribution with 1 degree...