2. consider a random experiment of shooting a bullet inside a circular disc of radius r. let a random variable x denote the distance of the bullet mark from the

2. Consider a random experiment of shooting a bullet inside a circular disc of radius r. Let a random variable X denote the distance of the bullet mark from the center of the dise along the radius of the dise passing through the bullet mark. Find the average distance X, median distance X, standard deviation of X and the moment generatıng function of X. Also find the probability that the bullet will hit (1) exactly at the center of the disc (i) exactly within a concentric circular disc of radius r/4 and (1i) exactly on the boundary of the concentric circular disc of radius r/4.