type of defense employed by NBA teams when they were playing against
Shaquille O’Neal. Instead of allow Shaq to shoot a 2 point shot
close to the rim, teams would foul him so he could not take the
shot. Instead he would be given 2 foul shots. Over his career,
Shaquille’s free throw percentage (the chance he would make a foul
shot) was 0.57.
Create a probability
distribution for X, the number of times Shaq makes a foul shot when
he shoots 2 foul shots. Show how you calculated each probability.
Round your answers to 2 decimal places.
What is the
probability that Shaq made 1 or fewer foul shots (if he shot 2)?
Show your work.
(BONUS:) If your
team was ahead by 2 points with 2 seconds left in the game, would
you foul Shaq? Explain your reasoning.