Shoot You and a Friend Are Working on Shooting Free

Essay

Shoot You and a friend are working on shooting free throws at basketball practice. Your
friend has a season average of making 80% of his shots.
a. If the coach asks your friend to shoot 70 times, how many shots do you expect him to
make, on average?
b. What is the standard deviation of the number of shots made out of 70?
c. Your friend makes 60 out of 70 shots and is ready to tell the coach that he is improving.
The graph below shows a simulation of this distribution. Using both your answers to (a)
and (b) and this graph, explain whether or not the coach should have confidence in his
improvement.