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

question 187

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?

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Definitions:

Concrete

Pertaining to material objects, physical construction, or specific, tangible ideas as opposed to abstract concepts.

Symbolic Interaction Theory

Theory that people make sense of the world based on their interpretation of words or symbols used by others.

Semantics

The branch of linguistics and logic concerned with meaning, including the relations between signs and what they denote.

Dissonance Theory

A psychological model proposing that inconsistency among beliefs, attitudes, or behaviors creates discomfort leading to an alteration in one of them to reduce the dissonance.