During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Amos's free-throw shooting percentage is lower and is only 56.9%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Amos makes when he shoots two free-throw shots.
Answer :
given data :-
Amos's free-throw shooting percentage is = 56.9%
= 56.9/100
= 0.569
Now we need to find out the expected value of the number of points Amos makes when he shoots two free-throw shots.
After being fouled he gets two free-throw shots each worth one points = 2
so,
the expected value of the number of points = 2 * 0.569
= 1.138
There fore The expected value of the number of points Amos makes when he shoots two free-throw shots is = 1.138
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