# Describe how to use random numbers to simulate the following PERFORMANCES: (a) A basketball player has the ABILITY to make 40% of his shots and he takes 25 shots in a game. (b) A basketball player has the ABILITY to make 75.2% of her free-throws and she takes 8 free throws in a game.

Describe how to use random numbers to simulate the following PERFORMANCES:
(a) A basketball player has the ABILITY to make 40% of his shots and he takes 25 shots in a game.
(b) A basketball player has the ABILITY to make 75.2% of her free-throws and she takes 8 free throws in a game.

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Given: there are 25 shots and 40% of the shots are made. Let the numbers from 1 to 40 represent a made shot, while the numbers from 41 to 100 represent a missed shot.
The following Ti83/Ti84 calculator command then generates 25 numbers from 1 to 100: randInt(1,100,25)
where randInt can be found in the MATH-menu under PRB.
Count the number of integers from 1 to 40 in the result to obtain the estimated number of shots made.
Given: there are 8 free throws and 75.2% of the free throws are made. Let the numbers from 1 to 752 represent a madde free throw, while the numbers from 753 to 1000 represent a missed free throw.
The following Ti83/Ti84 calculator command then generates 8 numbers from 1 to 1000: randInt(1,1000,8)
where randInt can be found in the MATH-menu under PRB.
Count the number of integers from 1 to 752 in the result to obtain the estimated number of free throws made.