In Basketball,one of the Possible Penalties After a Foul Is

Essay

In basketball,one of the possible penalties after a foul is called a free throw.The fouled player gets one shot at the basket from the foul line.If he misses this shot,he is awarded no points and the penalty is over.If he makes the shot,then he gets one point and gets to take another shot.If he makes the second shot he gets an additional point,and the ball is turned over to the other team.If he misses the second shot,the penalty is over.Suppose that the probability of making a shot is 80%,and the likelihood of making one shot is independent of the outcome of any other shot.What is the probability distribution function for the points from the penalty? On average,how many points would you expect to get from the penalty?