A pаrаbоlic sаtellite dish reflects signals tо the dish’s fоcal point. An antenna designer analyzed signals transmitted to a satellite dish and obtained the probability density function for 0 < x < 2, where X is the distance (in meters) from the centroid of the dish surface to a reflection point at which a signal arrives. Determine the following: (a) Value of c that makes f(x) a valid probability density function: (b) P(X 0.4) = (c) P(0.1 < X < 0.4) =